On interaction of symplectic and orthogonal Hecke-Shimura rings of one-class quadratic forms

DOI10.1007/S10958-013-1428-0zbMath1293.11066OpenAlexW2024902723MaRDI QIDQ378644

Anatolii N. Andrianov

Publication date: 12 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1428-0

Mathematics Subject Classification ID

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) Hecke-Petersson operators, differential operators (several variables) (11F60)

Cites Work

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• On interaction of Hecke–Shimura rings: symplectic versus orthogonal
• Zeta functions of orthogonal groups of integral positive-definite quadratic forms
• Interaction sums and action of Hecke operators on theta-series
• Symmetries of harmonic theta-functions of integral quadratic forms
• On the Ikeda lift

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