Analytic continuation of \(\zeta _ 3(s,k)\) to the critical strip. Arithmetic part

DOI10.1007/BF01099346zbMath0673.10027MaRDI QIDQ1120619

A. I. Vinogradov

Publication date: 1987

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

zbMATH Keywords

Dirichlet seriescontinuationadditive divisor problemmeromorphicgeneralized zeta-functionthree-dimensional hyperbolic spacesum of Kloosterman sumsSelberg-Linnik zeta-function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Gauss and Kloosterman sums; generalizations (11L05) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

• Convolution of the Fourier coefficients of the Eisenstein-Maass series
• The zeta-function of the additive divisor problem and spectral decomposition of the automorphic Laplacian
• Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem

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