Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Nils-Peter Skoruppa"'
Publikováno v:
Journal of Number Theory. 236:349-387
For all Eichler orders with a same squarefree level in a definite quaternion algebra over the field of rational numbers, we prove that a weighted sum of Jacobi theta series associated to these orders is a Jacobi Eisenstein series. Multiply the Fourie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97d06b1cc7baa6f6295dc2905e861d7f
https://doi.org/10.1016/j.jnt.2021.07.025
https://doi.org/10.1016/j.jnt.2021.07.025
Publikováno v:
Transactions of the American Mathematical Society
We use the theory of Jacobi forms to study the number of elements in a maximal order of a definite quaternion algebra over the field of rational numbers whose characteristic polynomial equals a given polynomial. A certain weighted average of such num
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7d3da564f33915b5cb5a37a4ea66000
https://doi.org/10.1090/tran/7575
https://doi.org/10.1090/tran/7575
Autor:
Nils-Peter Skoruppa, Stephan Ehlen
Publikováno v:
Contributions in Mathematical and Computational Sciences ISBN: 9783319697116
We propose an algorithm for computing bases and dimensions of spaces of invariants of Weil representations of \({\mathrm {SL}}_2(\mathbb {Z})\) associated to finite quadratic modules. We prove that these spaces are defined over \(\mathbb {Z}\), and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::087cafc388c6d7613966b287d33e8bda
https://doi.org/10.1007/978-3-319-69712-3_5
https://doi.org/10.1007/978-3-319-69712-3_5
Publikováno v:
Mathematics of Computation. 81:2361-2376
The Rankin convolution type Dirichlet series D F , G ( s ) D_{F,G}(s) of Siegel modular forms F F and G G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F F and G G . In particular, we prove t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb26af9427ece98ca06296404c92a8f2
https://doi.org/10.1090/s0025-5718-2012-02584-1
https://doi.org/10.1090/s0025-5718-2012-02584-1
Autor:
Nils-Peter Skoruppa, Hatice Boylan
Publikováno v:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 80:213-226
We derive an explicit formula for Hecke Gauss sums of quadratic number fields. As an immediate consequence we obtain a quadratic reciprocity law in quadratic number fields which generalizes the classical one given by Hecke. The proofs use, apart from
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e53f8d95d05f5f5a628374cc5f813b4
https://doi.org/10.1007/s12188-010-0041-0
https://doi.org/10.1007/s12188-010-0041-0
Autor:
Nils-Peter Skoruppa
Publikováno v:
Quadratic Forms—Algebra, Arithmetic, and Geometry. :379-389
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a1d6a8f7b6466daf3222e0d4d6778d7
https://doi.org/10.1090/conm/493/09680
https://doi.org/10.1090/conm/493/09680
We describe an implementation for computing holomorphic and skew-holomorphic Jacobi forms of integral weight and scalar index on the full modular group. This implementation is based on formulas derived by one of the authors which express Jacobi forms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15bd144f5b63a31bfb12f9ddca5fe884
Publikováno v:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 77:229-235
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77232d323465694ad87f3fa11ebb7d44
https://doi.org/10.1007/bf03173501
https://doi.org/10.1007/bf03173501
Autor:
Nils-Peter Skoruppa
Publikováno v:
Mathematika. 49:51-57
General upper bounds for lattice kissing numbers are derived using Hurwitz zeta functions and new inequalities for Mellin transforms.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37a1f1155cb2e5e4df77a397240be3fd
https://doi.org/10.1112/s0025579300016041
https://doi.org/10.1112/s0025579300016041
Autor:
Nils-Peter Skoruppa, Eduardo Friedman
Publikováno v:
Journal of the London Mathematical Society. 61:36-50
A formula of Poisson summation type is established for sums involving relative norms in an extension of number fields.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::154a87d5707baa7a6bcfe334b81382a9
https://doi.org/10.1112/s0024610799008285
https://doi.org/10.1112/s0024610799008285