@article{34897, abstract = {{This paper announces the creation of a database for number fields. It describes the contents and the methods of access, indicates the origin of the polynomials, and formulates the aims of this collection of fields.}}, author = {{Klüners, Jürgen and Malle, Gunter}}, issn = {{1461-1570}}, journal = {{LMS Journal of Computation and Mathematics}}, keywords = {{Computational Theory and Mathematics, General Mathematics}}, pages = {{182--196}}, publisher = {{Wiley}}, title = {{{A Database for Field Extensions of the Rationals}}}, doi = {{10.1112/s1461157000000851}}, volume = {{4}}, year = {{2001}}, } @inbook{44536, author = {{Burban, Igor and Drozd, Yu. and Greuel, G.-M.}}, booktitle = {{Applications of algebraic geometry to coding theory, physics and computation}}, editor = {{Ciliberto, Ciro}}, location = {{Eilat, Israel}}, pages = {{1–15}}, publisher = {{Kluwer Academic Publishers}}, title = {{{Vector bundles on singular projective curves}}}, year = {{2001}}, } @inbook{56911, author = {{Biehler, Rolf}}, booktitle = {{Anregungen zum Stochastikunterricht}}, editor = {{Borovcnik, M. and Engel, J. and Wickmann, D.}}, pages = {{97–114}}, publisher = {{Franzbecker}}, title = {{{Statistische Kompetenz von Schülerinnen und Schülern-Konzepte und Ergebnisse empirischer Studien am Beispiel des Vergleichens empirischer Verteilungen}}}, year = {{2001}}, } @inbook{56910, author = {{Biehler, Rolf}}, booktitle = {{Developments in Mathematics Education in Germany}}, editor = {{Weigand, H. G.}}, pages = {{18--30}}, publisher = {{Franzbecker}}, title = {{{Students' difficulties in practising computer supported data analysis - Some hypothetical generaliza-tions from results of two exploratory studies}}}, year = {{2001}}, } @inbook{56908, author = {{Biehler, Rolf and Schweynoch, S.}}, booktitle = {{Beiträge zum Mathematikunterricht 2001}}, pages = {{112--116}}, publisher = {{WTM-Verlag}}, title = {{{Internetgestütztes kooperatives Lösen von authentischen Problemen - Erfahrungen aus Data Sha-ring Projekten}}}, year = {{2001}}, } @inbook{56909, author = {{Biehler, Rolf and Schweynoch, S.}}, booktitle = {{Beiträge zum Mathematikunterricht 2001}}, pages = {{568--571}}, publisher = {{WTM-Verlag}}, title = {{{Statistische Kompetenz: Entwicklung und Auswertung eines diagnostischen Tests}}}, year = {{2001}}, } @inbook{64723, author = {{Glöckner, Helge and Neeb, Karl-Hermann}}, booktitle = {{Nuclear groups and Lie groups. Selected lectures of the workshop, Madrid, Spain, September 1999}}, isbn = {{3-88538-224-5}}, keywords = {{22A05, 22A10, 46L99}}, pages = {{163–185}}, publisher = {{Lemgo: Heldermann Verlag}}, title = {{{Minimally almost periodic Abelian groups and commutative W^*-algebras}}}, year = {{2001}}, } @article{64725, author = {{Glöckner, Helge and Willis, George A.}}, issn = {{0933-7741}}, journal = {{Forum Mathematicum}}, keywords = {{22E20, 20F50, 20E08}}, number = {{3}}, pages = {{413–421}}, title = {{{Uniscalar p-adic Lie groups}}}, doi = {{10.1515/form.2001.015}}, volume = {{13}}, year = {{2001}}, } @article{64724, author = {{Glöckner, Helge}}, issn = {{0026-9255}}, journal = {{Monatshefte für Mathematik}}, keywords = {{43A35, 15B48}}, number = {{4}}, pages = {{303–324}}, title = {{{Functions operating on positive semidefinite quaternionic matrices}}}, doi = {{10.1007/s006050170036}}, volume = {{132}}, year = {{2001}}, } @inbook{16513, author = {{Aston, P. J. and Dellnitz, M.}}, booktitle = {{Equadiff 99}}, isbn = {{9789810243593}}, title = {{{The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms}}}, doi = {{10.1142/9789812792617_0196}}, year = {{2000}}, } @inbook{16553, author = {{Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}}, booktitle = {{Equadiff 99}}, isbn = {{9789810243593}}, title = {{{A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator}}}, doi = {{10.1142/9789812792617_0199}}, year = {{2000}}, } @article{16554, author = {{Dellnitz, Michael and Froyland, Gary and Sertl, Stefan}}, issn = {{0951-7715}}, journal = {{Nonlinearity}}, pages = {{1171--1188}}, title = {{{On the isolated spectrum of the Perron-Frobenius operator}}}, doi = {{10.1088/0951-7715/13/4/310}}, year = {{2000}}, } @inbook{16616, author = {{Junge, Oliver}}, booktitle = {{Equadiff 99}}, isbn = {{9789810243593}}, title = {{{Rigorous discretization of subdivision techniques}}}, doi = {{10.1142/9789812792617_0178}}, year = {{2000}}, } @inbook{17018, author = {{Dellnitz, Michael and Junge, Oliver and Rumpf, Martin and Strzodka, Robert}}, booktitle = {{Equadiff 99}}, isbn = {{9789810243593}}, pages = {{1053----1059}}, title = {{{The computation of an unstable invariant set inside a cylinder containing a knotted flow}}}, doi = {{10.1142/9789812792617_0204}}, year = {{2000}}, } @article{51419, author = {{Hilgert, Joachim and Bertram, W.}}, journal = {{Michigan Math. J.}}, pages = {{235--263}}, title = {{{Geometric Hardy and Bergman Spaces}}}, volume = {{47}}, year = {{2000}}, } @book{51592, editor = {{Hilgert, Joachim and Doebner, H.-D. and Dobrev, V. K.}}, publisher = {{World Scientific}}, title = {{{Lie Theory and its Applcations in Physics III}}}, year = {{2000}}, } @inproceedings{40652, author = {{Rösler, Margit}}, booktitle = {{Infinite dimensional harmonic analysis (Kyoto 1999)}}, pages = {{290--305}}, publisher = {{Gräbner-Verlag}}, title = {{{One-parameter semigroups related to abstract quantum models of Calogero type}}}, year = {{2000}}, } @inproceedings{40172, author = {{Rösler, Margit}}, booktitle = {{Special Functions (HongKong 1999)}}, pages = {{309--323}}, publisher = {{World Scientific}}, title = {{{Short-time estimates for heat kernels associated with root systems}}}, doi = {{10.1142/9789812792303_0024}}, year = {{2000}}, } @article{34900, abstract = {{We describe methods for the computation of Galois groups of univariate polynomials over the rationals which we have implemented up to degree 15. These methods are based on Stauduhar’s algorithm. All computations are done in unramified p -adic extensions. For imprimitive groups we give an improvement using subfields. In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method.}}, author = {{Geissler, Katharina and Klüners, Jürgen}}, issn = {{0747-7171}}, journal = {{Journal of Symbolic Computation}}, keywords = {{Computational Mathematics, Algebra and Number Theory}}, number = {{6}}, pages = {{653--674}}, publisher = {{Elsevier BV}}, title = {{{Galois Group Computation for Rational Polynomials}}}, doi = {{10.1006/jsco.2000.0377}}, volume = {{30}}, year = {{2000}}, } @article{34901, abstract = {{Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L / K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L / K is cyclic.}}, author = {{Acciaro, Vincenzo and Klüners, Jürgen}}, issn = {{0747-7171}}, journal = {{Journal of Symbolic Computation}}, keywords = {{Computational Mathematics, Algebra and Number Theory}}, number = {{3}}, pages = {{239--252}}, publisher = {{Elsevier BV}}, title = {{{Computing Local Artin Maps, and Solvability of Norm Equations}}}, doi = {{10.1006/jsco.2000.0361}}, volume = {{30}}, year = {{2000}}, }