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We will characterize the Eisenstein series for O(2, n + 2) as a particular Hecke eigenform. As an application we show that it belongs to the associated Maa{\ss} space. If the underlying lattice is even and unimodular, this leads to an explicit formul
Externí odkaz:
http://arxiv.org/abs/2308.10709
Autor:
Schaps, Felix
We derive the Fourier expansion of scalar-valued Eisenstein series for O(2, n+2) using classical methods of Siegel, Braun, Zagier, Bruinier and others. We assume that the underlying lattice splits two hyperbolic planes. Finally we prove for the Eisen
Externí odkaz:
http://arxiv.org/abs/2212.09341
Publikováno v:
In Journal of Number Theory September 2024 262:454-470
Autor:
Krieg, Aloys, Schaps, Felix
We characterize the maximal discrete subgroups of $SO^+(2,n+2)$, which contain the discriminant kernel of an even lattice, which contains two hyperbolic planes over $\mathbb{Z}$. They coincide with the normalizers in $SO^+(2,n+2)$ and are given by th
Externí odkaz:
http://arxiv.org/abs/2106.00529
Akademický článek
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Autor:
Schaps, Felix
Publikováno v:
Aachen : RWTH Aachen University 1 Online-Ressource (2022). doi:10.18154/RWTH-2022-08607 = Dissertation, RWTH Aachen University, 2022
Dissertation, RWTH Aachen University, 2022; Aachen : RWTH Aachen University 1 Online-Ressource (2022). = Dissertation, RWTH Aachen University, 2022
In this thesis we study various scalar-valued Eisenstein series for the orthogonal group O(2,n) w
In this thesis we study various scalar-valued Eisenstein series for the orthogonal group O(2,n) w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b28585e442097bd72d468e2f0a086c97