Action of Hecke operators on theta-functions with rational characteristics

DOI10.1090/S1061-0022-04-00828-3zbMath1062.11024OpenAlexW1587053826MaRDI QIDQ4831265

Anatolii N. Andrianov

Publication date: 29 December 2004

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-04-00828-3

zbMATH Keywords

Siegel modular formHecke operatorszeta functions of modular formstheta function of quadratic forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Hecke-Petersson operators, differential operators (several variables) (11F60)

Cites Work

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• Siegel's modular forms and the arithmetic of quadratic forms
• Composition of solutions of quadratic Diophantine equations
• Cusp Forms of Weight 2 for the Group Γ 2 (4, 8)
• Symmetries of harmonic theta-functions of integral quadratic forms

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