Spectral methods in arithmetic problems

DOI10.1007/BF01084849zbMath0476.10040MaRDI QIDQ1160226

N. V. Kuznetsov

Publication date: 1982

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

zbMATH Keywords

meromorphic continuationspectral methodsmean valueseigenvalues of the LaplacianRankin convolutionautomorphic functionsEisenstein-Maass seriesnumber-theoretic functionsadditive divisor problemsnon-analytical cusp forms

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

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Cites Work

• The Selberg trace formula and the Riemann zeta-function
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• On the number of divisors of quadratic polynomials
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