@article{34885,
  abstract     = {{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       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{1687-0247}},
  journal      = {{International Mathematics Research Notices}},
  keywords     = {{General Mathematics}},
  number       = {{16}},
  pages        = {{3618--3656}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Weighted Distribution of the 4-rank of Class Groups and Applications}}},
  doi          = {{10.1093/imrn/rnq223}},
  volume       = {{2011}},
  year         = {{2011}},
}

@article{34846,
  abstract     = {{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       = {{van Hoeij, Mark and Klüners, Jürgen and Novocin, Andrew}},
  issn         = {{0747-7171}},
  journal      = {{Journal of Symbolic Computation}},
  keywords     = {{Computational Mathematics, Algebra and Number Theory}},
  pages        = {{17--34}},
  publisher    = {{Elsevier BV}},
  title        = {{{Generating subfields}}},
  doi          = {{10.1016/j.jsc.2012.05.010}},
  volume       = {{52}},
  year         = {{2011}},
}

@article{42798,
  abstract     = {{This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up to GL₂ₙ(Q) conjugacy in .}},
  author       = {{Kirschmer, Markus}},
  issn         = {{1058-6458}},
  journal      = {{Experimental Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{2}},
  pages        = {{217--228}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Finite Symplectic Matrix Groups}}},
  doi          = {{10.1080/10586458.2011.564964}},
  volume       = {{20}},
  year         = {{2011}},
}

@article{45420,
  author       = {{Mahnken, Rolf and Steinmann, P.}},
  issn         = {{0044-2267}},
  journal      = {{ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}},
  keywords     = {{Applied Mathematics, Computational Mechanics}},
  number       = {{S1}},
  pages        = {{161--164}},
  publisher    = {{Wiley}},
  title        = {{{Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting}}},
  doi          = {{10.1002/zamm.20000801341}},
  volume       = {{80}},
  year         = {{2011}},
}

@article{45421,
  author       = {{Döbert, C. and Mahnken, Rolf and Stein, E.}},
  issn         = {{0044-2267}},
  journal      = {{ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}},
  keywords     = {{Applied Mathematics, Computational Mechanics}},
  number       = {{S2}},
  pages        = {{467--468}},
  publisher    = {{Wiley}},
  title        = {{{Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests}}},
  doi          = {{10.1002/zamm.200008014105}},
  volume       = {{80}},
  year         = {{2011}},
}

@article{45419,
  author       = {{Mahnken, Rolf}},
  issn         = {{0044-2267}},
  journal      = {{ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}},
  keywords     = {{Applied Mathematics, Computational Mechanics}},
  number       = {{S2}},
  pages        = {{481--482}},
  publisher    = {{Wiley}},
  title        = {{{Improvements for finite-element implementation of the Gurson Model}}},
  doi          = {{10.1002/zamm.200008014112}},
  volume       = {{80}},
  year         = {{2011}},
}

@article{53184,
  author       = {{Januszewski, Fabian}},
  issn         = {{0075-4102}},
  journal      = {{Journal für die reine und angewandte Mathematik (Crelles Journal)}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{653}},
  pages        = {{1--45}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields}}},
  doi          = {{10.1515/crelle.2011.018}},
  volume       = {{2011}},
  year         = {{2010}},
}

@article{34886,
  abstract     = {{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       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{0003-486X}},
  journal      = {{Annals of Mathematics}},
  keywords     = {{Statistics, Probability and Uncertainty, Mathematics (miscellaneous)}},
  number       = {{3}},
  pages        = {{2035--2104}},
  publisher    = {{Annals of Mathematics}},
  title        = {{{On the negative Pell equation}}},
  doi          = {{10.4007/annals.2010.172.2035}},
  volume       = {{172}},
  year         = {{2010}},
}

@article{34888,
  abstract     = {{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       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{0024-6115}},
  journal      = {{Proceedings of the London Mathematical Society}},
  keywords     = {{General Mathematics}},
  number       = {{2}},
  pages        = {{337--391}},
  publisher    = {{Wiley}},
  title        = {{{The parity of the period of the continued fraction of d}}},
  doi          = {{10.1112/plms/pdp057}},
  volume       = {{101}},
  year         = {{2010}},
}

@article{42803,
  abstract     = {{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       = {{Kirschmer, Markus and Voight, John}},
  issn         = {{0097-5397}},
  journal      = {{SIAM Journal on Computing}},
  keywords     = {{General Mathematics, General Computer Science}},
  number       = {{5}},
  pages        = {{1714--1747}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{Algorithmic Enumeration of Ideal Classes for Quaternion Orders}}},
  doi          = {{10.1137/080734467}},
  volume       = {{39}},
  year         = {{2010}},
}

@article{45431,
  author       = {{Mahnken, Rolf}},
  issn         = {{0178-7675}},
  journal      = {{Computational Mechanics}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Computational Theory and Mathematics, Mechanical Engineering, Ocean Engineering, Computational Mechanics}},
  number       = {{5}},
  pages        = {{408--425}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems}}},
  doi          = {{10.1007/bf00350355}},
  volume       = {{15}},
  year         = {{2008}},
}

@article{39948,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0167-8019}},
  journal      = {{Acta Applicandae Mathematicae}},
  keywords     = {{Applied Mathematics}},
  number       = {{1-2}},
  pages        = {{179--195}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts}}},
  doi          = {{10.1007/s10440-006-9035-4}},
  volume       = {{90}},
  year         = {{2006}},
}

@article{34895,
  abstract     = {{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       = {{Klüners, Jürgen and Malle, G.}},
  issn         = {{0075-4102}},
  journal      = {{Journal für die reine und angewandte Mathematik (Crelles Journal)}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{572}},
  pages        = {{1--26}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Counting nilpotent Galois extensions}}},
  doi          = {{10.1515/crll.2004.050}},
  volume       = {{2004}},
  year         = {{2006}},
}

@article{34890,
  abstract     = {{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       = {{Fouvry, Étienne and Klüners, Jürgen}},
  issn         = {{0020-9910}},
  journal      = {{Inventiones mathematicae}},
  keywords     = {{General Mathematics}},
  number       = {{3}},
  pages        = {{455--513}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{On the 4-rank of class groups of quadratic number fields}}},
  doi          = {{10.1007/s00222-006-0021-2}},
  volume       = {{167}},
  year         = {{2006}},
}

@article{39951,
  author       = {{Rösler, Margit and Rauhut, Holger}},
  issn         = {{0176-4276}},
  journal      = {{Constructive Approximation}},
  keywords     = {{Computational Mathematics, General Mathematics, Analysis}},
  number       = {{2}},
  pages        = {{193--218}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Radial Multiresolution in Dimension Three}}},
  doi          = {{10.1007/s00365-004-0587-0}},
  volume       = {{22}},
  year         = {{2005}},
}

@article{34894,
  abstract     = {{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       = {{Klüners, Jürgen}},
  issn         = {{1631-073X}},
  journal      = {{Comptes Rendus Mathematique}},
  keywords     = {{General Mathematics}},
  number       = {{6}},
  pages        = {{411--414}},
  publisher    = {{Elsevier BV}},
  title        = {{{A counter example to Malle's conjecture on the asymptotics of discriminants}}},
  doi          = {{10.1016/j.crma.2005.02.010}},
  volume       = {{340}},
  year         = {{2005}},
}

@article{45416,
  author       = {{Mahnken, Rolf}},
  issn         = {{0029-5981}},
  journal      = {{International Journal for Numerical Methods in Engineering}},
  keywords     = {{Applied Mathematics, General Engineering, Numerical Analysis}},
  number       = {{7}},
  pages        = {{1015--1036}},
  publisher    = {{Wiley}},
  title        = {{{An inverse finite-element algorithm for parameter identification of thermoelastic damage models}}},
  doi          = {{10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4}},
  volume       = {{48}},
  year         = {{2005}},
}

@article{45433,
  author       = {{Mahnken, Rolf and Stein, E. and Bischoff, D.}},
  issn         = {{0029-5981}},
  journal      = {{International Journal for Numerical Methods in Engineering}},
  keywords     = {{Applied Mathematics, General Engineering, Numerical Analysis}},
  number       = {{5}},
  pages        = {{1015--1029}},
  publisher    = {{Wiley}},
  title        = {{{A stabilization procedure by line-search computation for first order approximation strategies in structural optimization}}},
  doi          = {{10.1002/nme.1620350505}},
  volume       = {{35}},
  year         = {{2005}},
}

@article{45435,
  author       = {{Mahnken, Rolf and Stein, Erwin}},
  issn         = {{0029-5981}},
  journal      = {{International Journal for Numerical Methods in Engineering}},
  keywords     = {{Applied Mathematics, General Engineering, Numerical Analysis}},
  number       = {{7}},
  pages        = {{1619--1633}},
  publisher    = {{Wiley}},
  title        = {{{Adaptive time-step control in creep analysis}}},
  doi          = {{10.1002/nme.1620280711}},
  volume       = {{28}},
  year         = {{2005}},
}

@article{35857,
  author       = {{Blömer, J.}},
  issn         = {{0178-4617}},
  journal      = {{Algorithmica}},
  keywords     = {{Applied Mathematics, Computer Science Applications, General Computer Science}},
  number       = {{1}},
  pages        = {{2--15}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Denesting by Bounded Degree Radicals}}},
  doi          = {{10.1007/s004530010028}},
  volume       = {{28}},
  year         = {{2002}},
}