On Siegel modular forms of level \(p\) and their properties mod \(p\)

DOI10.1007/s00229-010-0357-1zbMath1200.11032OpenAlexW1981547094MaRDI QIDQ981664

Siegfried Böcherer, Shoyu Nagaoka

Publication date: 2 July 2010

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-010-0357-1

zbMATH Keywords

Siegel modular formtheta seriescongruences for modular formsYoshida lift

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (7)

Notes on theta series for Niemeier lattices. II ⋮ On \(p\)-adic Siegel Eisenstein series ⋮ On the kernel of the theta operator mod \(p\) ⋮ Notes on theta series for Niemeier lattices ⋮ Some congruences for Saito-Kurokawa lifts ⋮ Linear independence of Poincaré series of exponential type via non-analytic methods ⋮ On p-Adic Properties of Siegel Modular Forms

Cites Work

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• Definite unimodular lattices having an automorphism of given characteristic polynomial
• Siegel's modular forms and the arithmetic of quadratic forms
• Congruences for certain theta series
• Trace operator and theta series
• On mod \(p\) properties of Siegel modular forms
• Theta series mod p and the basis problem for Nebentypus.
• Siegel modular forms and theta series attached to quaternion algebras
• Vanishing of certain spaces of elliptic modular forms and some applications
• On p-Adic Properties of Siegel Modular Forms

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