---
_id: '34904'
abstract:
- lang: eng
  text: The purpose of this article is to determine all subfields ℚ(β) of fixed degree
    of a given algebraic number field ℚ(α). It is convenient to describe each subfield
    by a pair (h,g) of polynomials in ℚ[t] resp. Z[t] such thatgis the minimal polynomial
    of β = h(α). The computations are done in unramifiedp-adic extensions and use
    information concerning subgroups of the Galois group of the normal closure of
    ℚ(α) obtained from the van der Waerden criterion.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Michael
  full_name: Pohst, Michael
  last_name: Pohst
citation:
  ama: Klüners J, Pohst M. On Computing Subfields. <i>Journal of Symbolic Computation</i>.
    1997;24(3-4):385-397. doi:<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>
  apa: Klüners, J., &#38; Pohst, M. (1997). On Computing Subfields. <i>Journal of
    Symbolic Computation</i>, <i>24</i>(3–4), 385–397. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>
  bibtex: '@article{Klüners_Pohst_1997, title={On Computing Subfields}, volume={24},
    DOI={<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>},
    number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen and Pohst, Michael}, year={1997}, pages={385–397} }'
  chicago: 'Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal
    of Symbolic Computation</i> 24, no. 3–4 (1997): 385–97. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>.'
  ieee: 'J. Klüners and M. Pohst, “On Computing Subfields,” <i>Journal of Symbolic
    Computation</i>, vol. 24, no. 3–4, pp. 385–397, 1997, doi: <a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.'
  mla: Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal of
    Symbolic Computation</i>, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:<a
    href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.
  short: J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
date_created: 2022-12-23T10:03:02Z
date_updated: 2023-03-06T10:36:21Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0140
has_accepted_license: '1'
intvolume: '        24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 385-397
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Computing Subfields
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...
---
_id: '40207'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. Trigonometric convolution structures on Z derived from Jacobi polynomials.
    <i>Journal of Computational and Applied Mathematics</i>. 1995;65(1-3):357-368.
    doi:<a href="https://doi.org/10.1016/0377-0427(95)00122-0">10.1016/0377-0427(95)00122-0</a>
  apa: Rösler, M. (1995). Trigonometric convolution structures on Z derived from Jacobi
    polynomials. <i>Journal of Computational and Applied Mathematics</i>, <i>65</i>(1–3),
    357–368. <a href="https://doi.org/10.1016/0377-0427(95)00122-0">https://doi.org/10.1016/0377-0427(95)00122-0</a>
  bibtex: '@article{Rösler_1995, title={Trigonometric convolution structures on Z
    derived from Jacobi polynomials}, volume={65}, DOI={<a href="https://doi.org/10.1016/0377-0427(95)00122-0">10.1016/0377-0427(95)00122-0</a>},
    number={1–3}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
    BV}, author={Rösler, Margit}, year={1995}, pages={357–368} }'
  chicago: 'Rösler, Margit. “Trigonometric Convolution Structures on Z Derived from
    Jacobi Polynomials.” <i>Journal of Computational and Applied Mathematics</i> 65,
    no. 1–3 (1995): 357–68. <a href="https://doi.org/10.1016/0377-0427(95)00122-0">https://doi.org/10.1016/0377-0427(95)00122-0</a>.'
  ieee: 'M. Rösler, “Trigonometric convolution structures on Z derived from Jacobi
    polynomials,” <i>Journal of Computational and Applied Mathematics</i>, vol. 65,
    no. 1–3, pp. 357–368, 1995, doi: <a href="https://doi.org/10.1016/0377-0427(95)00122-0">10.1016/0377-0427(95)00122-0</a>.'
  mla: Rösler, Margit. “Trigonometric Convolution Structures on Z Derived from Jacobi
    Polynomials.” <i>Journal of Computational and Applied Mathematics</i>, vol. 65,
    no. 1–3, Elsevier BV, 1995, pp. 357–68, doi:<a href="https://doi.org/10.1016/0377-0427(95)00122-0">10.1016/0377-0427(95)00122-0</a>.
  short: M. Rösler, Journal of Computational and Applied Mathematics 65 (1995) 357–368.
date_created: 2023-01-26T08:42:19Z
date_updated: 2023-01-26T17:43:10Z
department:
- _id: '555'
doi: 10.1016/0377-0427(95)00122-0
extern: '1'
intvolume: '        65'
issue: 1-3
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 357-368
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: Trigonometric convolution structures on Z derived from Jacobi polynomials
type: journal_article
user_id: '93826'
volume: 65
year: '1995'
...
---
_id: '40208'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. On the dual of a commutative signed hypergroup. <i>Manuscripta Mathematica</i>.
    1995;88(1):147-163. doi:<a href="https://doi.org/10.1007/bf02567812">10.1007/bf02567812</a>
  apa: Rösler, M. (1995). On the dual of a commutative signed hypergroup. <i>Manuscripta
    Mathematica</i>, <i>88</i>(1), 147–163. <a href="https://doi.org/10.1007/bf02567812">https://doi.org/10.1007/bf02567812</a>
  bibtex: '@article{Rösler_1995, title={On the dual of a commutative signed hypergroup},
    volume={88}, DOI={<a href="https://doi.org/10.1007/bf02567812">10.1007/bf02567812</a>},
    number={1}, journal={Manuscripta Mathematica}, publisher={Springer Science and
    Business Media LLC}, author={Rösler, Margit}, year={1995}, pages={147–163} }'
  chicago: 'Rösler, Margit. “On the Dual of a Commutative Signed Hypergroup.” <i>Manuscripta
    Mathematica</i> 88, no. 1 (1995): 147–63. <a href="https://doi.org/10.1007/bf02567812">https://doi.org/10.1007/bf02567812</a>.'
  ieee: 'M. Rösler, “On the dual of a commutative signed hypergroup,” <i>Manuscripta
    Mathematica</i>, vol. 88, no. 1, pp. 147–163, 1995, doi: <a href="https://doi.org/10.1007/bf02567812">10.1007/bf02567812</a>.'
  mla: Rösler, Margit. “On the Dual of a Commutative Signed Hypergroup.” <i>Manuscripta
    Mathematica</i>, vol. 88, no. 1, Springer Science and Business Media LLC, 1995,
    pp. 147–63, doi:<a href="https://doi.org/10.1007/bf02567812">10.1007/bf02567812</a>.
  short: M. Rösler, Manuscripta Mathematica 88 (1995) 147–163.
date_created: 2023-01-26T08:45:19Z
date_updated: 2023-01-26T17:40:37Z
department:
- _id: '555'
doi: 10.1007/bf02567812
extern: '1'
intvolume: '        88'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 147-163
publication: Manuscripta Mathematica
publication_identifier:
  issn:
  - 0025-2611
  - 1432-1785
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On the dual of a commutative signed hypergroup
type: journal_article
user_id: '93826'
volume: 88
year: '1995'
...
---
_id: '40216'
author:
- first_name: R.
  full_name: Lasser, R.
  last_name: Lasser
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Lasser R, Rösler M. A note on property (T) of orthogonal polynomials. <i>Archiv
    der Mathematik</i>. 1993;60(5):459-463. doi:<a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>
  apa: Lasser, R., &#38; Rösler, M. (1993). A note on property (T) of orthogonal polynomials.
    <i>Archiv Der Mathematik</i>, <i>60</i>(5), 459–463. <a href="https://doi.org/10.1007/bf01202312">https://doi.org/10.1007/bf01202312</a>
  bibtex: '@article{Lasser_Rösler_1993, title={A note on property (T) of orthogonal
    polynomials}, volume={60}, DOI={<a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>},
    number={5}, journal={Archiv der Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Lasser, R. and Rösler, Margit}, year={1993}, pages={459–463}
    }'
  chicago: 'Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.”
    <i>Archiv Der Mathematik</i> 60, no. 5 (1993): 459–63. <a href="https://doi.org/10.1007/bf01202312">https://doi.org/10.1007/bf01202312</a>.'
  ieee: 'R. Lasser and M. Rösler, “A note on property (T) of orthogonal polynomials,”
    <i>Archiv der Mathematik</i>, vol. 60, no. 5, pp. 459–463, 1993, doi: <a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>.'
  mla: Lasser, R., and Margit Rösler. “A Note on Property (T) of Orthogonal Polynomials.”
    <i>Archiv Der Mathematik</i>, vol. 60, no. 5, Springer Science and Business Media
    LLC, 1993, pp. 459–63, doi:<a href="https://doi.org/10.1007/bf01202312">10.1007/bf01202312</a>.
  short: R. Lasser, M. Rösler, Archiv Der Mathematik 60 (1993) 459–463.
date_created: 2023-01-26T09:05:30Z
date_updated: 2023-01-26T17:33:57Z
department:
- _id: '555'
doi: 10.1007/bf01202312
extern: '1'
intvolume: '        60'
issue: '5'
keyword:
- General Mathematics
language:
- iso: eng
page: 459-463
publication: Archiv der Mathematik
publication_identifier:
  issn:
  - 0003-889X
  - 1420-8938
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A note on property (T) of orthogonal polynomials
type: journal_article
user_id: '37390'
volume: 60
year: '1993'
...
---
_id: '40218'
author:
- first_name: R.
  full_name: Lasser, R.
  last_name: Lasser
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Lasser R, Rösler M. Linear mean estimation of weakly stationary stochastic
    processes under the aspects of optimality and asymptotic optimality. <i>Stochastic
    Processes and their Applications</i>. 1991;38(2):279-293. doi:<a href="https://doi.org/10.1016/0304-4149(91)90095-t">10.1016/0304-4149(91)90095-t</a>
  apa: Lasser, R., &#38; Rösler, M. (1991). Linear mean estimation of weakly stationary
    stochastic processes under the aspects of optimality and asymptotic optimality.
    <i>Stochastic Processes and Their Applications</i>, <i>38</i>(2), 279–293. <a
    href="https://doi.org/10.1016/0304-4149(91)90095-t">https://doi.org/10.1016/0304-4149(91)90095-t</a>
  bibtex: '@article{Lasser_Rösler_1991, title={Linear mean estimation of weakly stationary
    stochastic processes under the aspects of optimality and asymptotic optimality},
    volume={38}, DOI={<a href="https://doi.org/10.1016/0304-4149(91)90095-t">10.1016/0304-4149(91)90095-t</a>},
    number={2}, journal={Stochastic Processes and their Applications}, publisher={Elsevier
    BV}, author={Lasser, R. and Rösler, Margit}, year={1991}, pages={279–293} }'
  chicago: 'Lasser, R., and Margit Rösler. “Linear Mean Estimation of Weakly Stationary
    Stochastic Processes under the Aspects of Optimality and Asymptotic Optimality.”
    <i>Stochastic Processes and Their Applications</i> 38, no. 2 (1991): 279–93. <a
    href="https://doi.org/10.1016/0304-4149(91)90095-t">https://doi.org/10.1016/0304-4149(91)90095-t</a>.'
  ieee: 'R. Lasser and M. Rösler, “Linear mean estimation of weakly stationary stochastic
    processes under the aspects of optimality and asymptotic optimality,” <i>Stochastic
    Processes and their Applications</i>, vol. 38, no. 2, pp. 279–293, 1991, doi:
    <a href="https://doi.org/10.1016/0304-4149(91)90095-t">10.1016/0304-4149(91)90095-t</a>.'
  mla: Lasser, R., and Margit Rösler. “Linear Mean Estimation of Weakly Stationary
    Stochastic Processes under the Aspects of Optimality and Asymptotic Optimality.”
    <i>Stochastic Processes and Their Applications</i>, vol. 38, no. 2, Elsevier BV,
    1991, pp. 279–93, doi:<a href="https://doi.org/10.1016/0304-4149(91)90095-t">10.1016/0304-4149(91)90095-t</a>.
  short: R. Lasser, M. Rösler, Stochastic Processes and Their Applications 38 (1991)
    279–293.
date_created: 2023-01-26T09:09:22Z
date_updated: 2023-01-26T17:29:03Z
department:
- _id: '555'
doi: 10.1016/0304-4149(91)90095-t
extern: '1'
intvolume: '        38'
issue: '2'
keyword:
- Applied Mathematics
- Modeling and Simulation
- Statistics and Probability
language:
- iso: eng
page: 279-293
publication: Stochastic Processes and their Applications
publication_identifier:
  issn:
  - 0304-4149
publication_status: published
publisher: Elsevier BV
status: public
title: Linear mean estimation of weakly stationary stochastic processes under the
  aspects of optimality and asymptotic optimality
type: journal_article
user_id: '93826'
volume: 38
year: '1991'
...