Siegel theta series for indefinite quadratic forms

DOI10.1007/s40993-021-00272-yzbMath1472.11148arXiv2009.08230OpenAlexW3176967948MaRDI QIDQ2038097

Christina Roehrig

Publication date: 9 July 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08230

zbMATH Keywords

Siegel modular formshomogeneous polynomialsSiegel theta seriesnon-holomorphic modular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)

Related Items (2)

A Kronecker limit formula for indefinite zeta functions ⋮ Siegel theta series for quadratic forms of signature \((m - 1, 1)\)

Cites Work

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• Zur Theorie der harmonischen Formen. (On the theory of harmonic forms)
• Introduction to Siegel modular forms and Dirichlet series
• The theta correspondence and harmonic forms. I
• The theta correspondence and harmonic forms. II
• Automorphic forms with singularities on Grassmannians
• Indefinite theta series and generalized error functions
• Theta integrals and generalized error functions
• Products of vector valued Eisenstein series
• \(r\)-tuple error functions and indefinite theta series of higher-depth
• Harmonic theta series and the Kodaira dimension of \(\mathcal{A}_6\)
• BEHAVIOR OF THETA SERIES OF DEGREE $ N$ UNDER MODULAR SUBSTITUTIONS
• On some incomplete theta integrals

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