---
_id: '34885'
abstract:
- lang: eng
  text: We prove that the distribution of the values of the 4-rank of ideal class
    groups of quadratic fields is not affected when it is weighted by a divisor type
    function. We then give several applications concerning a new lower bound of the
    sums of class numbers of real quadratic fields with discriminant less than a bound
    tending to infinity and several questions of P. Sarnak concerning reciprocal geodesics.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. Weighted Distribution of the 4-rank of Class Groups and
    Applications. <i>International Mathematics Research Notices</i>. 2011;2011(16):3618-3656.
    doi:<a href="https://doi.org/10.1093/imrn/rnq223">10.1093/imrn/rnq223</a>
  apa: Fouvry, É., &#38; Klüners, J. (2011). Weighted Distribution of the 4-rank of
    Class Groups and Applications. <i>International Mathematics Research Notices</i>,
    <i>2011</i>(16), 3618–3656. <a href="https://doi.org/10.1093/imrn/rnq223">https://doi.org/10.1093/imrn/rnq223</a>
  bibtex: '@article{Fouvry_Klüners_2011, title={Weighted Distribution of the 4-rank
    of Class Groups and Applications}, volume={2011}, DOI={<a href="https://doi.org/10.1093/imrn/rnq223">10.1093/imrn/rnq223</a>},
    number={16}, journal={International Mathematics Research Notices}, publisher={Oxford
    University Press (OUP)}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2011},
    pages={3618–3656} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank
    of Class Groups and Applications.” <i>International Mathematics Research Notices</i>
    2011, no. 16 (2011): 3618–56. <a href="https://doi.org/10.1093/imrn/rnq223">https://doi.org/10.1093/imrn/rnq223</a>.'
  ieee: 'É. Fouvry and J. Klüners, “Weighted Distribution of the 4-rank of Class Groups
    and Applications,” <i>International Mathematics Research Notices</i>, vol. 2011,
    no. 16, pp. 3618–3656, 2011, doi: <a href="https://doi.org/10.1093/imrn/rnq223">10.1093/imrn/rnq223</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of
    Class Groups and Applications.” <i>International Mathematics Research Notices</i>,
    vol. 2011, no. 16, Oxford University Press (OUP), 2011, pp. 3618–56, doi:<a href="https://doi.org/10.1093/imrn/rnq223">10.1093/imrn/rnq223</a>.
  short: É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011)
    3618–3656.
date_created: 2022-12-23T09:08:00Z
date_updated: 2023-03-06T09:07:46Z
department:
- _id: '102'
doi: 10.1093/imrn/rnq223
intvolume: '      2011'
issue: '16'
keyword:
- General Mathematics
language:
- iso: eng
page: 3618-3656
publication: International Mathematics Research Notices
publication_identifier:
  issn:
  - 1687-0247
  - 1073-7928
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Weighted Distribution of the 4-rank of Class Groups and Applications
type: journal_article
user_id: '93826'
volume: 2011
year: '2011'
...
---
_id: '34846'
abstract:
- lang: eng
  text: Given a field extension K/k of degree n we are interested in finding the subfields
    of K containing k. There can be more than polynomially many subfields. We introduce
    the notion of generating subfields, a set of up to n subfields whose intersections
    give the rest. We provide an efficient algorithm which uses linear algebra in
    k or lattice reduction along with factorization in any extension of K. Implementations
    show that previously difficult cases can now be handled.
author:
- first_name: Mark
  full_name: van Hoeij, Mark
  last_name: van Hoeij
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Andrew
  full_name: Novocin, Andrew
  last_name: Novocin
citation:
  ama: van Hoeij M, Klüners J, Novocin A. Generating subfields. <i>Journal of Symbolic
    Computation</i>. 2011;52:17-34. doi:<a href="https://doi.org/10.1016/j.jsc.2012.05.010">10.1016/j.jsc.2012.05.010</a>
  apa: van Hoeij, M., Klüners, J., &#38; Novocin, A. (2011). Generating subfields.
    <i>Journal of Symbolic Computation</i>, <i>52</i>, 17–34. <a href="https://doi.org/10.1016/j.jsc.2012.05.010">https://doi.org/10.1016/j.jsc.2012.05.010</a>
  bibtex: '@article{van Hoeij_Klüners_Novocin_2011, title={Generating subfields},
    volume={52}, DOI={<a href="https://doi.org/10.1016/j.jsc.2012.05.010">10.1016/j.jsc.2012.05.010</a>},
    journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={van
    Hoeij, Mark and Klüners, Jürgen and Novocin, Andrew}, year={2011}, pages={17–34}
    }'
  chicago: 'Hoeij, Mark van, Jürgen Klüners, and Andrew Novocin. “Generating Subfields.”
    <i>Journal of Symbolic Computation</i> 52 (2011): 17–34. <a href="https://doi.org/10.1016/j.jsc.2012.05.010">https://doi.org/10.1016/j.jsc.2012.05.010</a>.'
  ieee: 'M. van Hoeij, J. Klüners, and A. Novocin, “Generating subfields,” <i>Journal
    of Symbolic Computation</i>, vol. 52, pp. 17–34, 2011, doi: <a href="https://doi.org/10.1016/j.jsc.2012.05.010">10.1016/j.jsc.2012.05.010</a>.'
  mla: van Hoeij, Mark, et al. “Generating Subfields.” <i>Journal of Symbolic Computation</i>,
    vol. 52, Elsevier BV, 2011, pp. 17–34, doi:<a href="https://doi.org/10.1016/j.jsc.2012.05.010">10.1016/j.jsc.2012.05.010</a>.
  short: M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52
    (2011) 17–34.
date_created: 2022-12-22T10:54:15Z
date_updated: 2023-03-06T09:46:15Z
department:
- _id: '102'
doi: 10.1016/j.jsc.2012.05.010
intvolume: '        52'
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 17-34
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: Generating subfields
type: journal_article
user_id: '93826'
volume: 52
year: '2011'
...
---
_id: '42798'
abstract:
- lang: eng
  text: This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up
    to GL₂ₙ(Q) conjugacy in .
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Kirschmer M. Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>.
    2011;20(2):217-228. doi:<a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>
  apa: Kirschmer, M. (2011). Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>,
    <i>20</i>(2), 217–228. <a href="https://doi.org/10.1080/10586458.2011.564964">https://doi.org/10.1080/10586458.2011.564964</a>
  bibtex: '@article{Kirschmer_2011, title={Finite Symplectic Matrix Groups}, volume={20},
    DOI={<a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>},
    number={2}, journal={Experimental Mathematics}, publisher={Informa UK Limited},
    author={Kirschmer, Markus}, year={2011}, pages={217–228} }'
  chicago: 'Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental
    Mathematics</i> 20, no. 2 (2011): 217–28. <a href="https://doi.org/10.1080/10586458.2011.564964">https://doi.org/10.1080/10586458.2011.564964</a>.'
  ieee: 'M. Kirschmer, “Finite Symplectic Matrix Groups,” <i>Experimental Mathematics</i>,
    vol. 20, no. 2, pp. 217–228, 2011, doi: <a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>.'
  mla: Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental Mathematics</i>,
    vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi:<a href="https://doi.org/10.1080/10586458.2011.564964">10.1080/10586458.2011.564964</a>.
  short: M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.
date_created: 2023-03-07T08:36:46Z
date_updated: 2023-04-04T09:24:42Z
department:
- _id: '102'
doi: 10.1080/10586458.2011.564964
extern: '1'
intvolume: '        20'
issue: '2'
keyword:
- General Mathematics
language:
- iso: eng
page: 217-228
publication: Experimental Mathematics
publication_identifier:
  issn:
  - 1058-6458
  - 1944-950X
publication_status: published
publisher: Informa UK Limited
status: public
title: Finite Symplectic Matrix Groups
type: journal_article
user_id: '93826'
volume: 20
year: '2011'
...
---
_id: '45420'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: P.
  full_name: Steinmann, P.
  last_name: Steinmann
citation:
  ama: Mahnken R, Steinmann P. Parameter Identification of Constitutive Models for
    Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal of Applied
    Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>.
    2011;80(S1):161-164. doi:<a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>
  apa: Mahnken, R., &#38; Steinmann, P. (2011). Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i>, <i>80</i>(S1), 161–164. <a href="https://doi.org/10.1002/zamm.20000801341">https://doi.org/10.1002/zamm.20000801341</a>
  bibtex: '@article{Mahnken_Steinmann_2011, title={Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting}, volume={80}, DOI={<a
    href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>},
    number={S1}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf
    and Steinmann, P.}, year={2011}, pages={161–164} }'
  chicago: 'Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i> 80, no. S1 (2011): 161–64. <a href="https://doi.org/10.1002/zamm.20000801341">https://doi.org/10.1002/zamm.20000801341</a>.'
  ieee: 'R. Mahnken and P. Steinmann, “Parameter Identification of Constitutive Models
    for Fluidsaturated Porous Media within an FE-Setting,” <i>ZAMM - Journal of Applied
    Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>,
    vol. 80, no. S1, pp. 161–164, 2011, doi: <a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>.'
  mla: Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive
    Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal
    of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
    Mechanik</i>, vol. 80, no. S1, Wiley, 2011, pp. 161–64, doi:<a href="https://doi.org/10.1002/zamm.20000801341">10.1002/zamm.20000801341</a>.
  short: R. Mahnken, P. Steinmann, ZAMM - Journal of Applied Mathematics and Mechanics
    / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 161–164.
date_created: 2023-05-31T12:09:05Z
date_updated: 2023-05-31T12:09:41Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.20000801341
intvolume: '        80'
issue: S1
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 161-164
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Parameter Identification of Constitutive Models for Fluidsaturated Porous Media
  within an FE-Setting
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '45421'
author:
- first_name: C.
  full_name: Döbert, C.
  last_name: Döbert
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
citation:
  ama: Döbert C, Mahnken R, Stein E. Numerical Simulation of Interface Debonding during
    Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics and Mechanics /
    Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2011;80(S2):467-468. doi:<a
    href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>
  apa: Döbert, C., Mahnken, R., &#38; Stein, E. (2011). Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics
    and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2),
    467–468. <a href="https://doi.org/10.1002/zamm.200008014105">https://doi.org/10.1002/zamm.200008014105</a>
  bibtex: '@article{Döbert_Mahnken_Stein_2011, title={Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests}, volume={80}, DOI={<a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>},
    number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Döbert, C.
    and Mahnken, Rolf and Stein, E.}, year={2011}, pages={467–468} }'
  chicago: 'Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface
    Debonding during Fibre Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics
    and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 80, no.
    S2 (2011): 467–68. <a href="https://doi.org/10.1002/zamm.200008014105">https://doi.org/10.1002/zamm.200008014105</a>.'
  ieee: 'C. Döbert, R. Mahnken, and E. Stein, “Numerical Simulation of Interface Debonding
    during Fibre Pull-Out Tests,” <i>ZAMM - Journal of Applied Mathematics and Mechanics
    / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp.
    467–468, 2011, doi: <a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>.'
  mla: Döbert, C., et al. “Numerical Simulation of Interface Debonding during Fibre
    Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp.
    467–68, doi:<a href="https://doi.org/10.1002/zamm.200008014105">10.1002/zamm.200008014105</a>.
  short: C. Döbert, R. Mahnken, E. Stein, ZAMM - Journal of Applied Mathematics and
    Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 467–468.
date_created: 2023-05-31T12:10:26Z
date_updated: 2023-05-31T12:11:07Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.200008014105
intvolume: '        80'
issue: S2
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 467-468
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '45419'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Improvements for finite-element implementation of the Gurson Model.
    <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte
    Mathematik und Mechanik</i>. 2011;80(S2):481-482. doi:<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>
  apa: Mahnken, R. (2011). Improvements for finite-element implementation of the Gurson
    Model. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für
    Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2), 481–482. <a href="https://doi.org/10.1002/zamm.200008014112">https://doi.org/10.1002/zamm.200008014112</a>
  bibtex: '@article{Mahnken_2011, title={Improvements for finite-element implementation
    of the Gurson Model}, volume={80}, DOI={<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>},
    number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf},
    year={2011}, pages={481–482} }'
  chicago: 'Mahnken, Rolf. “Improvements for Finite-Element Implementation of the
    Gurson Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik</i> 80, no. S2 (2011): 481–82. <a href="https://doi.org/10.1002/zamm.200008014112">https://doi.org/10.1002/zamm.200008014112</a>.'
  ieee: 'R. Mahnken, “Improvements for finite-element implementation of the Gurson
    Model,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
    Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp. 481–482, 2011, doi:
    <a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>.'
  mla: Mahnken, Rolf. “Improvements for Finite-Element Implementation of the Gurson
    Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für
    Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp. 481–82,
    doi:<a href="https://doi.org/10.1002/zamm.200008014112">10.1002/zamm.200008014112</a>.
  short: R. Mahnken, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift
    Für Angewandte Mathematik Und Mechanik 80 (2011) 481–482.
date_created: 2023-05-31T12:07:05Z
date_updated: 2023-05-31T12:07:53Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/zamm.200008014112
intvolume: '        80'
issue: S2
keyword:
- Applied Mathematics
- Computational Mechanics
language:
- iso: eng
page: 481-482
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
  Angewandte Mathematik und Mechanik
publication_identifier:
  issn:
  - 0044-2267
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Improvements for finite-element implementation of the Gurson Model
type: journal_article
user_id: '335'
volume: 80
year: '2011'
...
---
_id: '53184'
article_type: original
author:
- first_name: Fabian
  full_name: Januszewski, Fabian
  id: '81636'
  last_name: Januszewski
citation:
  ama: Januszewski F. Modular symbols for reductive groups and p-adic Rankin–Selberg
    convolutions over number fields. <i>Journal für die reine und angewandte Mathematik
    (Crelles Journal)</i>. 2010;2011(653):1-45. doi:<a href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>
  apa: Januszewski, F. (2010). Modular symbols for reductive groups and p-adic Rankin–Selberg
    convolutions over number fields. <i>Journal Für Die Reine Und Angewandte Mathematik
    (Crelles Journal)</i>, <i>2011</i>(653), 1–45. <a href="https://doi.org/10.1515/crelle.2011.018">https://doi.org/10.1515/crelle.2011.018</a>
  bibtex: '@article{Januszewski_2010, title={Modular symbols for reductive groups
    and p-adic Rankin–Selberg convolutions over number fields}, volume={2011}, DOI={<a
    href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>}, number={653},
    journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter
    de Gruyter GmbH}, author={Januszewski, Fabian}, year={2010}, pages={1–45} }'
  chicago: 'Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic
    Rankin–Selberg Convolutions over Number Fields.” <i>Journal Für Die Reine Und
    Angewandte Mathematik (Crelles Journal)</i> 2011, no. 653 (2010): 1–45. <a href="https://doi.org/10.1515/crelle.2011.018">https://doi.org/10.1515/crelle.2011.018</a>.'
  ieee: 'F. Januszewski, “Modular symbols for reductive groups and p-adic Rankin–Selberg
    convolutions over number fields,” <i>Journal für die reine und angewandte Mathematik
    (Crelles Journal)</i>, vol. 2011, no. 653, pp. 1–45, 2010, doi: <a href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>.'
  mla: Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg
    Convolutions over Number Fields.” <i>Journal Für Die Reine Und Angewandte Mathematik
    (Crelles Journal)</i>, vol. 2011, no. 653, Walter de Gruyter GmbH, 2010, pp. 1–45,
    doi:<a href="https://doi.org/10.1515/crelle.2011.018">10.1515/crelle.2011.018</a>.
  short: F. Januszewski, Journal Für Die Reine Und Angewandte Mathematik (Crelles
    Journal) 2011 (2010) 1–45.
date_created: 2024-04-03T16:47:27Z
date_updated: 2024-04-03T17:13:10Z
doi: 10.1515/crelle.2011.018
extern: '1'
intvolume: '      2011'
issue: '653'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1-45
publication: Journal für die reine und angewandte Mathematik (Crelles Journal)
publication_identifier:
  issn:
  - 0075-4102
  - 1435-5345
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions
  over number fields
type: journal_article
user_id: '81636'
volume: 2011
year: '2010'
...
---
_id: '34886'
abstract:
- lang: eng
  text: We give asymptotic upper and lower bounds for the number of squarefree d (0
    < d ≤ X) such that the equation x² − dy²= −1 is solvable. These estimates, as
    usual, can equivalently be interpreted in terms of real quadratic fields with
    a fundamental unit with norm −1 and give strong evidence in the direction of a
    conjecture due to P. Stevenhagen.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the negative Pell equation. <i>Annals of Mathematics</i>.
    2010;172(3):2035-2104. doi:<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). On the negative Pell equation. <i>Annals
    of Mathematics</i>, <i>172</i>(3), 2035–2104. <a href="https://doi.org/10.4007/annals.2010.172.2035">https://doi.org/10.4007/annals.2010.172.2035</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={On the negative Pell equation}, volume={172},
    DOI={<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>},
    number={3}, journal={Annals of Mathematics}, publisher={Annals of Mathematics},
    author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={2035–2104} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.”
    <i>Annals of Mathematics</i> 172, no. 3 (2010): 2035–2104. <a href="https://doi.org/10.4007/annals.2010.172.2035">https://doi.org/10.4007/annals.2010.172.2035</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the negative Pell equation,” <i>Annals of Mathematics</i>,
    vol. 172, no. 3, pp. 2035–2104, 2010, doi: <a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” <i>Annals
    of Mathematics</i>, vol. 172, no. 3, Annals of Mathematics, 2010, pp. 2035–104,
    doi:<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>.
  short: É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
date_created: 2022-12-23T09:09:02Z
date_updated: 2023-03-06T09:50:37Z
department:
- _id: '102'
doi: 10.4007/annals.2010.172.2035
intvolume: '       172'
issue: '3'
keyword:
- Statistics
- Probability and Uncertainty
- Mathematics (miscellaneous)
language:
- iso: eng
page: 2035-2104
publication: Annals of Mathematics
publication_identifier:
  issn:
  - 0003-486X
publication_status: published
publisher: Annals of Mathematics
status: public
title: On the negative Pell equation
type: journal_article
user_id: '93826'
volume: 172
year: '2010'
...
---
_id: '34888'
abstract:
- lang: eng
  text: We call a positive square-free integer d special, if d is not divisible by
    primes congruent to 3 mod 4. We show that the period of the expansion of in continued
    fractions is asymptotically more often odd than even, when we restrict to special
    integers. We note that this period is always even for a non-special square-free
    integer d. It is well known that the above period is odd if and only if the negative
    Pell equation x²−dy²=−1 is solvable. The latter problem is solvable if and only
    if the narrow and the ordinary class groups of ℚ(√d) are equal. In a prior work
    we fully described the asymptotics of the 4-ranks of those class groups. Here
    we get the first non-trivial results about the asymptotic behavior of the 8-rank
    of the narrow class group. For example, we show that more than 76% of the quadratic
    fields ℚ(√d), where d is special, have the property that the 8-rank of the narrow
    class group is zero.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. The parity of the period of the continued fraction of
    d. <i>Proceedings of the London Mathematical Society</i>. 2010;101(2):337-391.
    doi:<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). The parity of the period of the continued
    fraction of d. <i>Proceedings of the London Mathematical Society</i>, <i>101</i>(2),
    337–391. <a href="https://doi.org/10.1112/plms/pdp057">https://doi.org/10.1112/plms/pdp057</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={The parity of the period of the continued
    fraction of d}, volume={101}, DOI={<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>},
    number={2}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley},
    author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={337–391} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the
    Continued Fraction of d.” <i>Proceedings of the London Mathematical Society</i>
    101, no. 2 (2010): 337–91. <a href="https://doi.org/10.1112/plms/pdp057">https://doi.org/10.1112/plms/pdp057</a>.'
  ieee: 'É. Fouvry and J. Klüners, “The parity of the period of the continued fraction
    of d,” <i>Proceedings of the London Mathematical Society</i>, vol. 101, no. 2,
    pp. 337–391, 2010, doi: <a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued
    Fraction of d.” <i>Proceedings of the London Mathematical Society</i>, vol. 101,
    no. 2, Wiley, 2010, pp. 337–91, doi:<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>.
  short: É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101
    (2010) 337–391.
date_created: 2022-12-23T09:22:49Z
date_updated: 2023-03-06T10:16:54Z
department:
- _id: '102'
doi: 10.1112/plms/pdp057
intvolume: '       101'
issue: '2'
keyword:
- General Mathematics
language:
- iso: eng
page: 337-391
publication: Proceedings of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6115
publication_status: published
publisher: Wiley
related_material:
  link:
  - relation: confirmation
    url: https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=fc7ab412993fd2bf0069de42fbef1ecc69137755
status: public
title: The parity of the period of the continued fraction of d
type: journal_article
user_id: '93826'
volume: 101
year: '2010'
...
---
_id: '42803'
abstract:
- lang: eng
  text: We provide algorithms to count and enumerate representatives of the (right)
    ideal classes of an Eichler order in a quaternion algebra defined over a number
    field. We analyze the run time of these algorithms and consider several related
    problems, including the computation of two-sided ideal classes, isomorphism classes
    of orders, connecting ideals for orders, and ideal principalization. We conclude
    by giving the complete list of definite Eichler orders with class number at most
    2.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: John
  full_name: Voight, John
  last_name: Voight
citation:
  ama: Kirschmer M, Voight J. Algorithmic Enumeration of Ideal Classes for Quaternion
    Orders. <i>SIAM Journal on Computing</i>. 2010;39(5):1714-1747. doi:<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>
  apa: Kirschmer, M., &#38; Voight, J. (2010). Algorithmic Enumeration of Ideal Classes
    for Quaternion Orders. <i>SIAM Journal on Computing</i>, <i>39</i>(5), 1714–1747.
    <a href="https://doi.org/10.1137/080734467">https://doi.org/10.1137/080734467</a>
  bibtex: '@article{Kirschmer_Voight_2010, title={Algorithmic Enumeration of Ideal
    Classes for Quaternion Orders}, volume={39}, DOI={<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>},
    number={5}, journal={SIAM Journal on Computing}, publisher={Society for Industrial
    &#38; Applied Mathematics (SIAM)}, author={Kirschmer, Markus and Voight, John},
    year={2010}, pages={1714–1747} }'
  chicago: 'Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal
    Classes for Quaternion Orders.” <i>SIAM Journal on Computing</i> 39, no. 5 (2010):
    1714–47. <a href="https://doi.org/10.1137/080734467">https://doi.org/10.1137/080734467</a>.'
  ieee: 'M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for
    Quaternion Orders,” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, pp. 1714–1747,
    2010, doi: <a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>.'
  mla: Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes
    for Quaternion Orders.” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, Society
    for Industrial &#38; Applied Mathematics (SIAM), 2010, pp. 1714–47, doi:<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>.
  short: M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
date_created: 2023-03-07T08:49:35Z
date_updated: 2023-04-04T09:25:08Z
department:
- _id: '102'
doi: 10.1137/080734467
extern: '1'
intvolume: '        39'
issue: '5'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
page: 1714-1747
publication: SIAM Journal on Computing
publication_identifier:
  issn:
  - 0097-5397
  - 1095-7111
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Algorithmic Enumeration of Ideal Classes for Quaternion Orders
type: journal_article
user_id: '93826'
volume: 39
year: '2010'
...
---
_id: '45431'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems.
    <i>Computational Mechanics</i>. 2008;15(5):408-425. doi:<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>
  apa: Mahnken, R. (2008). A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems. <i>Computational Mechanics</i>, <i>15</i>(5), 408–425. <a href="https://doi.org/10.1007/bf00350355">https://doi.org/10.1007/bf00350355</a>
  bibtex: '@article{Mahnken_2008, title={A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems}, volume={15}, DOI={<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>},
    number={5}, journal={Computational Mechanics}, publisher={Springer Science and
    Business Media LLC}, author={Mahnken, Rolf}, year={2008}, pages={408–425} }'
  chicago: 'Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic
    Problems.” <i>Computational Mechanics</i> 15, no. 5 (2008): 408–25. <a href="https://doi.org/10.1007/bf00350355">https://doi.org/10.1007/bf00350355</a>.'
  ieee: 'R. Mahnken, “A Newton-Multigrid algrithm for elasto-plastic/viscoplastic
    problems,” <i>Computational Mechanics</i>, vol. 15, no. 5, pp. 408–425, 2008,
    doi: <a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>.'
  mla: Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic
    Problems.” <i>Computational Mechanics</i>, vol. 15, no. 5, Springer Science and
    Business Media LLC, 2008, pp. 408–25, doi:<a href="https://doi.org/10.1007/bf00350355">10.1007/bf00350355</a>.
  short: R. Mahnken, Computational Mechanics 15 (2008) 408–425.
date_created: 2023-05-31T12:26:42Z
date_updated: 2023-05-31T12:27:11Z
department:
- _id: '9'
- _id: '154'
doi: 10.1007/bf00350355
intvolume: '        15'
issue: '5'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 408-425
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems
type: journal_article
user_id: '335'
volume: 15
year: '2008'
...
---
_id: '39948'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean
    Counterparts. <i>Acta Applicandae Mathematicae</i>. 2006;90(1-2):179-195. doi:<a
    href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>
  apa: Rösler, M., &#38; Voit, M. (2006). SU(d)-Biinvariant Random Walks on SL(d,C)
    and their Euclidean Counterparts. <i>Acta Applicandae Mathematicae</i>, <i>90</i>(1–2),
    179–195. <a href="https://doi.org/10.1007/s10440-006-9035-4">https://doi.org/10.1007/s10440-006-9035-4</a>
  bibtex: '@article{Rösler_Voit_2006, title={SU(d)-Biinvariant Random Walks on SL(d,C)
    and their Euclidean Counterparts}, volume={90}, DOI={<a href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>},
    number={1–2}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science
    and Business Media LLC}, author={Rösler, Margit and Voit, Michael}, year={2006},
    pages={179–195} }'
  chicago: 'Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C)
    and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i> 90, no.
    1–2 (2006): 179–95. <a href="https://doi.org/10.1007/s10440-006-9035-4">https://doi.org/10.1007/s10440-006-9035-4</a>.'
  ieee: 'M. Rösler and M. Voit, “SU(d)-Biinvariant Random Walks on SL(d,C) and their
    Euclidean Counterparts,” <i>Acta Applicandae Mathematicae</i>, vol. 90, no. 1–2,
    pp. 179–195, 2006, doi: <a href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>.'
  mla: Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C)
    and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i>, vol.
    90, no. 1–2, Springer Science and Business Media LLC, 2006, pp. 179–95, doi:<a
    href="https://doi.org/10.1007/s10440-006-9035-4">10.1007/s10440-006-9035-4</a>.
  short: M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.
date_created: 2023-01-25T09:57:30Z
date_updated: 2023-01-26T17:47:14Z
department:
- _id: '555'
doi: 10.1007/s10440-006-9035-4
extern: '1'
intvolume: '        90'
issue: 1-2
keyword:
- Applied Mathematics
language:
- iso: eng
page: 179-195
publication: Acta Applicandae Mathematicae
publication_identifier:
  issn:
  - 0167-8019
  - 1572-9036
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts
type: journal_article
user_id: '37390'
volume: 90
year: '2006'
...
---
_id: '34895'
abstract:
- lang: eng
  text: 'We obtain strong information on the asymptotic behaviour of the counting
    function for nilpotent Galois extensions with bounded discriminant of arbitrary
    number fields. This extends previous investigations for the case of abelian groups.
    In particular, the result confirms a conjecture by the second author on this function
    for arbitrary groups in the nilpotent case. We further prove compatibility of
    the conjecture with taking wreath products with the cyclic group of order 2 and
    give examples in degree up to 8. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: G.
  full_name: Malle, G.
  last_name: Malle
citation:
  ama: Klüners J, Malle G. Counting nilpotent Galois extensions. <i>Journal für die
    reine und angewandte Mathematik (Crelles Journal)</i>. 2006;2004(572):1-26. doi:<a
    href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>
  apa: Klüners, J., &#38; Malle, G. (2006). Counting nilpotent Galois extensions.
    <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2004</i>(572),
    1–26. <a href="https://doi.org/10.1515/crll.2004.050">https://doi.org/10.1515/crll.2004.050</a>
  bibtex: '@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions},
    volume={2004}, DOI={<a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>},
    number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles
    Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle,
    G.}, year={2006}, pages={1–26} }'
  chicago: 'Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.”
    <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2004,
    no. 572 (2006): 1–26. <a href="https://doi.org/10.1515/crll.2004.050">https://doi.org/10.1515/crll.2004.050</a>.'
  ieee: 'J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” <i>Journal
    für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no.
    572, pp. 1–26, 2006, doi: <a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>.'
  mla: Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal
    Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no.
    572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:<a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>.
  short: J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles
    Journal) 2004 (2006) 1–26.
date_created: 2022-12-23T09:50:49Z
date_updated: 2023-03-06T09:11:16Z
department:
- _id: '102'
doi: 10.1515/crll.2004.050
external_id:
  arxiv:
  - math/0112318
intvolume: '      2004'
issue: '572'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1-26
publication: Journal für die reine und angewandte Mathematik (Crelles Journal)
publication_identifier:
  issn:
  - 0075-4102
  - 1435-5345
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Counting nilpotent Galois extensions
type: journal_article
user_id: '93826'
volume: 2004
year: '2006'
...
---
_id: '34890'
abstract:
- lang: eng
  text: 'We prove that the 4-rank of class groups of quadratic number fields behaves
    as predicted in an extension due to Gerth of the Cohen–Lenstra heuristics. '
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the 4-rank of class groups of quadratic number fields.
    <i>Inventiones mathematicae</i>. 2006;167(3):455-513. doi:<a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>
  apa: Fouvry, É., &#38; Klüners, J. (2006). On the 4-rank of class groups of quadratic
    number fields. <i>Inventiones Mathematicae</i>, <i>167</i>(3), 455–513. <a href="https://doi.org/10.1007/s00222-006-0021-2">https://doi.org/10.1007/s00222-006-0021-2</a>
  bibtex: '@article{Fouvry_Klüners_2006, title={On the 4-rank of class groups of quadratic
    number fields}, volume={167}, DOI={<a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>},
    number={3}, journal={Inventiones mathematicae}, publisher={Springer Science and
    Business Media LLC}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006},
    pages={455–513} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of
    Quadratic Number Fields.” <i>Inventiones Mathematicae</i> 167, no. 3 (2006): 455–513.
    <a href="https://doi.org/10.1007/s00222-006-0021-2">https://doi.org/10.1007/s00222-006-0021-2</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number
    fields,” <i>Inventiones mathematicae</i>, vol. 167, no. 3, pp. 455–513, 2006,
    doi: <a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic
    Number Fields.” <i>Inventiones Mathematicae</i>, vol. 167, no. 3, Springer Science
    and Business Media LLC, 2006, pp. 455–513, doi:<a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>.
  short: É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
date_created: 2022-12-23T09:36:15Z
date_updated: 2023-03-06T09:12:30Z
department:
- _id: '102'
doi: 10.1007/s00222-006-0021-2
intvolume: '       167'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 455-513
publication: Inventiones mathematicae
publication_identifier:
  issn:
  - 0020-9910
  - 1432-1297
publication_status: published
publisher: Springer Science and Business Media LLC
related_material:
  link:
  - relation: confirmation
    url: https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/ranks.pdf
status: public
title: On the 4-rank of class groups of quadratic number fields
type: journal_article
user_id: '93826'
volume: 167
year: '2006'
...
---
_id: '39951'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Holger
  full_name: Rauhut, Holger
  last_name: Rauhut
citation:
  ama: Rösler M, Rauhut H. Radial Multiresolution in Dimension Three. <i>Constructive
    Approximation</i>. 2005;22(2):193-218. doi:<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>
  apa: Rösler, M., &#38; Rauhut, H. (2005). Radial Multiresolution in Dimension Three.
    <i>Constructive Approximation</i>, <i>22</i>(2), 193–218. <a href="https://doi.org/10.1007/s00365-004-0587-0">https://doi.org/10.1007/s00365-004-0587-0</a>
  bibtex: '@article{Rösler_Rauhut_2005, title={Radial Multiresolution in Dimension
    Three}, volume={22}, DOI={<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>},
    number={2}, journal={Constructive Approximation}, publisher={Springer Science
    and Business Media LLC}, author={Rösler, Margit and Rauhut, Holger}, year={2005},
    pages={193–218} }'
  chicago: 'Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension
    Three.” <i>Constructive Approximation</i> 22, no. 2 (2005): 193–218. <a href="https://doi.org/10.1007/s00365-004-0587-0">https://doi.org/10.1007/s00365-004-0587-0</a>.'
  ieee: 'M. Rösler and H. Rauhut, “Radial Multiresolution in Dimension Three,” <i>Constructive
    Approximation</i>, vol. 22, no. 2, pp. 193–218, 2005, doi: <a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>.'
  mla: Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension Three.”
    <i>Constructive Approximation</i>, vol. 22, no. 2, Springer Science and Business
    Media LLC, 2005, pp. 193–218, doi:<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>.
  short: M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.
date_created: 2023-01-25T10:04:35Z
date_updated: 2023-01-26T17:44:30Z
department:
- _id: '555'
doi: 10.1007/s00365-004-0587-0
extern: '1'
intvolume: '        22'
issue: '2'
keyword:
- Computational Mathematics
- General Mathematics
- Analysis
language:
- iso: eng
page: 193-218
publication: Constructive Approximation
publication_identifier:
  issn:
  - 0176-4276
  - 1432-0940
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Radial Multiresolution in Dimension Three
type: journal_article
user_id: '93826'
volume: 22
year: '2005'
...
---
_id: '34894'
abstract:
- lang: eng
  text: 'In this Note we give a counter example to a conjecture of Malle which predicts
    the asymptotic behavior of the counting functions for field extensions with given
    Galois group and bounded discriminant. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. A counter example to Malle’s conjecture on the asymptotics of discriminants.
    <i>Comptes Rendus Mathematique</i>. 2005;340(6):411-414. doi:<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>
  apa: Klüners, J. (2005). A counter example to Malle’s conjecture on the asymptotics
    of discriminants. <i>Comptes Rendus Mathematique</i>, <i>340</i>(6), 411–414.
    <a href="https://doi.org/10.1016/j.crma.2005.02.010">https://doi.org/10.1016/j.crma.2005.02.010</a>
  bibtex: '@article{Klüners_2005, title={A counter example to Malle’s conjecture on
    the asymptotics of discriminants}, volume={340}, DOI={<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>},
    number={6}, journal={Comptes Rendus Mathematique}, publisher={Elsevier BV}, author={Klüners,
    Jürgen}, year={2005}, pages={411–414} }'
  chicago: 'Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics
    of Discriminants.” <i>Comptes Rendus Mathematique</i> 340, no. 6 (2005): 411–14.
    <a href="https://doi.org/10.1016/j.crma.2005.02.010">https://doi.org/10.1016/j.crma.2005.02.010</a>.'
  ieee: 'J. Klüners, “A counter example to Malle’s conjecture on the asymptotics of
    discriminants,” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, pp. 411–414,
    2005, doi: <a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>.'
  mla: Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics
    of Discriminants.” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, Elsevier
    BV, 2005, pp. 411–14, doi:<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>.
  short: J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
date_created: 2022-12-23T09:44:05Z
date_updated: 2023-03-06T09:15:10Z
department:
- _id: '102'
doi: 10.1016/j.crma.2005.02.010
external_id:
  arxiv:
  - 'math/0411486 '
intvolume: '       340'
issue: '6'
keyword:
- General Mathematics
language:
- iso: eng
page: 411-414
publication: Comptes Rendus Mathematique
publication_identifier:
  issn:
  - 1631-073X
publication_status: published
publisher: Elsevier BV
status: public
title: A counter example to Malle's conjecture on the asymptotics of discriminants
type: journal_article
user_id: '93826'
volume: 340
year: '2005'
...
---
_id: '45416'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models. <i>International Journal for Numerical Methods
    in Engineering</i>. 2005;48(7):1015-1036. doi:<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>
  apa: Mahnken, R. (2005). An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models. <i>International Journal for Numerical Methods
    in Engineering</i>, <i>48</i>(7), 1015–1036. <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>
  bibtex: '@article{Mahnken_2005, title={An inverse finite-element algorithm for parameter
    identification of thermoelastic damage models}, volume={48}, DOI={<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>},
    number={7}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf}, year={2005}, pages={1015–1036} }'
  chicago: 'Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification
    of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods
    in Engineering</i> 48, no. 7 (2005): 1015–36. <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.'
  ieee: 'R. Mahnken, “An inverse finite-element algorithm for parameter identification
    of thermoelastic damage models,” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 48, no. 7, pp. 1015–1036, 2005, doi: <a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.'
  mla: Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification
    of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods
    in Engineering</i>, vol. 48, no. 7, Wiley, 2005, pp. 1015–36, doi:<a href="https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.
  short: R. Mahnken, International Journal for Numerical Methods in Engineering 48
    (2005) 1015–1036.
date_created: 2023-05-31T12:02:23Z
date_updated: 2023-05-31T12:02:56Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4
intvolume: '        48'
issue: '7'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1015-1036
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: An inverse finite-element algorithm for parameter identification of thermoelastic
  damage models
type: journal_article
user_id: '335'
volume: 48
year: '2005'
...
---
_id: '45433'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: E.
  full_name: Stein, E.
  last_name: Stein
- first_name: D.
  full_name: Bischoff, D.
  last_name: Bischoff
citation:
  ama: Mahnken R, Stein E, Bischoff D. A stabilization procedure by line-search computation
    for first order approximation strategies in structural optimization. <i>International
    Journal for Numerical Methods in Engineering</i>. 2005;35(5):1015-1029. doi:<a
    href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>
  apa: Mahnken, R., Stein, E., &#38; Bischoff, D. (2005). A stabilization procedure
    by line-search computation for first order approximation strategies in structural
    optimization. <i>International Journal for Numerical Methods in Engineering</i>,
    <i>35</i>(5), 1015–1029. <a href="https://doi.org/10.1002/nme.1620350505">https://doi.org/10.1002/nme.1620350505</a>
  bibtex: '@article{Mahnken_Stein_Bischoff_2005, title={A stabilization procedure
    by line-search computation for first order approximation strategies in structural
    optimization}, volume={35}, DOI={<a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>},
    number={5}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf and Stein, E. and Bischoff, D.}, year={2005},
    pages={1015–1029} }'
  chicago: 'Mahnken, Rolf, E. Stein, and D. Bischoff. “A Stabilization Procedure by
    Line-Search Computation for First Order Approximation Strategies in Structural
    Optimization.” <i>International Journal for Numerical Methods in Engineering</i>
    35, no. 5 (2005): 1015–29. <a href="https://doi.org/10.1002/nme.1620350505">https://doi.org/10.1002/nme.1620350505</a>.'
  ieee: 'R. Mahnken, E. Stein, and D. Bischoff, “A stabilization procedure by line-search
    computation for first order approximation strategies in structural optimization,”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 35, no.
    5, pp. 1015–1029, 2005, doi: <a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>.'
  mla: Mahnken, Rolf, et al. “A Stabilization Procedure by Line-Search Computation
    for First Order Approximation Strategies in Structural Optimization.” <i>International
    Journal for Numerical Methods in Engineering</i>, vol. 35, no. 5, Wiley, 2005,
    pp. 1015–29, doi:<a href="https://doi.org/10.1002/nme.1620350505">10.1002/nme.1620350505</a>.
  short: R. Mahnken, E. Stein, D. Bischoff, International Journal for Numerical Methods
    in Engineering 35 (2005) 1015–1029.
date_created: 2023-05-31T12:29:05Z
date_updated: 2023-05-31T12:29:34Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.1620350505
intvolume: '        35'
issue: '5'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1015-1029
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: A stabilization procedure by line-search computation for first order approximation
  strategies in structural optimization
type: journal_article
user_id: '335'
volume: 35
year: '2005'
...
---
_id: '45435'
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Erwin
  full_name: Stein, Erwin
  last_name: Stein
citation:
  ama: Mahnken R, Stein E. Adaptive time-step control in creep analysis. <i>International
    Journal for Numerical Methods in Engineering</i>. 2005;28(7):1619-1633. doi:<a
    href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>
  apa: Mahnken, R., &#38; Stein, E. (2005). Adaptive time-step control in creep analysis.
    <i>International Journal for Numerical Methods in Engineering</i>, <i>28</i>(7),
    1619–1633. <a href="https://doi.org/10.1002/nme.1620280711">https://doi.org/10.1002/nme.1620280711</a>
  bibtex: '@article{Mahnken_Stein_2005, title={Adaptive time-step control in creep
    analysis}, volume={28}, DOI={<a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>},
    number={7}, journal={International Journal for Numerical Methods in Engineering},
    publisher={Wiley}, author={Mahnken, Rolf and Stein, Erwin}, year={2005}, pages={1619–1633}
    }'
  chicago: 'Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.”
    <i>International Journal for Numerical Methods in Engineering</i> 28, no. 7 (2005):
    1619–33. <a href="https://doi.org/10.1002/nme.1620280711">https://doi.org/10.1002/nme.1620280711</a>.'
  ieee: 'R. Mahnken and E. Stein, “Adaptive time-step control in creep analysis,”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no.
    7, pp. 1619–1633, 2005, doi: <a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>.'
  mla: Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.”
    <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no.
    7, Wiley, 2005, pp. 1619–33, doi:<a href="https://doi.org/10.1002/nme.1620280711">10.1002/nme.1620280711</a>.
  short: R. Mahnken, E. Stein, International Journal for Numerical Methods in Engineering
    28 (2005) 1619–1633.
date_created: 2023-05-31T12:30:12Z
date_updated: 2023-05-31T12:30:41Z
department:
- _id: '9'
- _id: '154'
doi: 10.1002/nme.1620280711
intvolume: '        28'
issue: '7'
keyword:
- Applied Mathematics
- General Engineering
- Numerical Analysis
language:
- iso: eng
page: 1619-1633
publication: International Journal for Numerical Methods in Engineering
publication_identifier:
  issn:
  - 0029-5981
  - 1097-0207
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Adaptive time-step control in creep analysis
type: journal_article
user_id: '335'
volume: 28
year: '2005'
...
---
_id: '35857'
author:
- first_name: J.
  full_name: Blömer, J.
  last_name: Blömer
citation:
  ama: Blömer J. Denesting by Bounded Degree Radicals. <i>Algorithmica</i>. 2002;28(1):2-15.
    doi:<a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>
  apa: Blömer, J. (2002). Denesting by Bounded Degree Radicals. <i>Algorithmica</i>,
    <i>28</i>(1), 2–15. <a href="https://doi.org/10.1007/s004530010028">https://doi.org/10.1007/s004530010028</a>
  bibtex: '@article{Blömer_2002, title={Denesting by Bounded Degree Radicals}, volume={28},
    DOI={<a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>},
    number={1}, journal={Algorithmica}, publisher={Springer Science and Business Media
    LLC}, author={Blömer, J.}, year={2002}, pages={2–15} }'
  chicago: 'Blömer, J. “Denesting by Bounded Degree Radicals.” <i>Algorithmica</i>
    28, no. 1 (2002): 2–15. <a href="https://doi.org/10.1007/s004530010028">https://doi.org/10.1007/s004530010028</a>.'
  ieee: 'J. Blömer, “Denesting by Bounded Degree Radicals,” <i>Algorithmica</i>, vol.
    28, no. 1, pp. 2–15, 2002, doi: <a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>.'
  mla: Blömer, J. “Denesting by Bounded Degree Radicals.” <i>Algorithmica</i>, vol.
    28, no. 1, Springer Science and Business Media LLC, 2002, pp. 2–15, doi:<a href="https://doi.org/10.1007/s004530010028">10.1007/s004530010028</a>.
  short: J. Blömer, Algorithmica 28 (2002) 2–15.
date_created: 2023-01-10T13:44:28Z
date_updated: 2023-01-10T13:48:53Z
department:
- _id: '64'
doi: 10.1007/s004530010028
intvolume: '        28'
issue: '1'
keyword:
- Applied Mathematics
- Computer Science Applications
- General Computer Science
language:
- iso: eng
page: 2-15
publication: Algorithmica
publication_identifier:
  issn:
  - 0178-4617
  - 1432-0541
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Denesting by Bounded Degree Radicals
type: journal_article
user_id: '23'
volume: 28
year: '2002'
...