On zeta functions of orthogonal groups of single-class positive definite quadratic forms

DOI10.1090/S1061-0022-06-00920-4zbMath1099.11024MaRDI QIDQ5477783

Anatolii N. Andrianov

Publication date: 29 June 2006

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

zbMATH Keywords

modular formsharmonic formsHecke zeta functionzeta functions of modular formstheta-series of integral quadratic forms

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Other Dirichlet series and zeta functions (11M41) Hecke-Petersson operators, differential operators (several variables) (11F60)

Cites Work

• Singular modular forms and theta relations
• On the Segal-Shale-Weil representations and harmonic polynomials
• Composition of solutions of quadratic Diophantine equations
• BEHAVIOR OF THETA SERIES OF DEGREE $ N$ UNDER MODULAR SUBSTITUTIONS
• Symmetries of harmonic theta-functions of integral quadratic forms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On zeta functions of orthogonal groups of single-class positive definite quadratic forms