Second moments of Dirichlet L-functions weighted by Kloosterman sums

DOI10.1007/S10587-012-0057-YzbMath1265.11086OpenAlexW2004768593MaRDI QIDQ4898751

Ting-Ting Wang

Publication date: 2 January 2013

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10587-012-0057-y

zbMATH Keywords

asymptotic formulaDirichlet \(L\)-functionmean square valuegeneral \(k\)-th Kloosterman sum

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05)

Cites Work

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• Using Stepanov's method for exponential sums involving rational functions
• Kloosterman sums and Fourier coefficients of cusp forms
• On the \(2k\)-th power mean of Dirichlet \(L\)-functions with the weight of general Kloosterman sums
• Exponential sums with rational function entries
• A further refinement of Mordell's bound on exponential sums
• On Kloosterman's sum
• On Some Exponential Sums

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