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OPPOSITE‐SIGN KLOOSTERMAN SUM ZETA FUNCTION

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Publication:2810732
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DOI10.1112/S0025579315000273zbMath1343.11079arXiv1504.01860OpenAlexW1803241509MaRDI QIDQ2810732

Eren Mehmet Kıral

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01860


zbMATH Keywords

Kloosterman sumDirichlet serieszeta-function


Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)


Related Items (3)

The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). I: The Whittaker case ⋮ Sums of algebraic trace functions twisted by arithmetic functions ⋮ Uniform bounds for sums of Kloosterman sums of half integral weight




Cites Work

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  • Multiple Dirichlet series and shifted convolutions
  • Sums of Kloosterman sums
  • On the Kloosterman-sum zeta-function
  • On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums




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