Paramodular groups and theta series

DOI10.1142/s1793042123501257arXiv2011.09597OpenAlexW3105985784MaRDI QIDQ6086908

Rainer Schulze-Pillot, Siegfried Böcherer

Publication date: 11 December 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09597

zbMATH Keywords

theta seriesSiegel modular formsbasis problemparamodular group

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55)

Cites Work

• Genus 2 paramodular Eisenstein congruences
• Klassenzahlen definiter quadratischer Formen
• Explicit constructions of automorphic \(L\)-functions
• Ein Rationalitätssatz für formale Heckereihen zur Siegelschen Modulgruppe. (A rationality theorem for formal Hecke series related to the Siegel modular group)
• A simple remark on eigenvalues of Hecke operators on Siegel modular forms
• Lattice chain models for affine buildings of classical type.
• Local newforms for \(\text{GSp}(4)\)
• Common hyperbolic bases for chains of alternating or quadratic lattices
• Einführung in die Theorie der paramodularen Gruppen
• Über die Fourierschen Koeffizienten von Eisensteinschen Reihen der Stufe T
• On Siegel modular forms obtained form theta series.
• Siegel modular forms and theta series attached to quaternion algebras
• On the basis problem for Siegel modular forms with level
• L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
• The Hecke algebras for the orthogonal group SO(2,3) and the paramodular group of degree 2
• Deformations of Saito-Kurokawa type and the Paramodular Conjecture
• Paramodular cusp forms
• Paramodular abelian varieties of odd conductor
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Paramodular groups and theta series