Hecke operators on Hilbert–Siegel theta series

DOI10.1142/S179304212150072XzbMath1479.11059arXiv1909.01852OpenAlexW3157915743MaRDI QIDQ5155867

Dan Fretwell, Lynne H. Walling

Publication date: 8 October 2021

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

Full work available at URL: https://arxiv.org/abs/1909.01852

zbMATH Keywords

quadratic formstheta seriestotally real fields

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Quadratic forms over global rings and fields (11E12) Holomorphic modular forms of integral weight (11F11)

Cites Work

• Explicitly realizing average Siegel theta series as linear combinations of Eisenstein series
• Hecke eigenvalues and relations for Siegel Eisenstein series of arbitrary degree, level, and character
• ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES, II
• Hecke operators on theta series attached to lattices of arbitrary rank
• On theta functions of real algebraic number fields
• HECKE OPERATORS ON HILBERT–SIEGEL MODULAR FORMS
• ACTION OF HECKE OPERATORS ON SIEGEL THETA SERIES I
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