Arithmetic-analytic properties of binary positive-definite quadratic forms

DOI10.1007/BF01474435zbMath0624.10015OpenAlexW2029975826MaRDI QIDQ1092081

V. A. Bykovskii

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01474435

zbMATH Keywords

binary quadratic formsasymptotic formuladistribution of integral pointsfunctional equation for Kloosterman sumshyperboloidsnumber-theoretical applicationsspectral theory of modular functions

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Modular and automorphic functions (11F03) Lattice points in specified regions (11P21) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

• Convolution of the Fourier coefficients of the Eisenstein-Maass series
• Spectral decompositions of certain automorphic functions and their number-theoretic applications
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
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