Estimates of Petersson's inner squares of cusp forms and arithmetic applications

DOI10.1007/BF01303657zbMath0719.11027OpenAlexW2001442575MaRDI QIDQ2639889

Oleg M. Fomenko

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01303657

zbMATH Keywords

asymptotic propertiesmodular formsDirichlet seriesSiegel zerosrepresentation of integersquaternary quadratic formsPetersson scalar productsPetersson-normuniform distribution of lattice points on ellipsoids

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Theta series; Weil representation; theta correspondences (11F27) Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Lattice points in specified regions (11P21)

Related Items

Uniform bounds for norms of theta series and arithmetic applications, Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients

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