Composition of solutions of quadratic Diophantine equations

DOI10.1070/RM1991V046N02ABEH002789zbMath0742.11021OpenAlexW2046794496MaRDI QIDQ3980222

Anatolii N. Andrianov

Publication date: 26 June 1992

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1991v046n02abeh002789

zbMATH Keywords

action of Hecke operatorsrepresentations of integerscomposition of quadratic formsrepresentation massesSiegel measuresautomorphsnon-homogeneous theta series

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (6)

Action of Hecke operators on theta-functions with rational characteristics ⋮ On an advice of Yu. V. Linnik, Hecke operators, and theta functions ⋮ On invariant subspaces and eigenfunctions of regular Hecke operators on spaces of multiple theta constants ⋮ Action of Hecke operators on Maass theta series and zeta functions ⋮ On zeta functions of orthogonal groups of single-class positive definite quadratic forms ⋮ Multiplicative arithmetic of finite quadratic forms over Dedekind rings

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