BOUNDS FOR A MEAN VALUE OF CHARACTER SUMS

DOI10.1142/S1793042108001328zbMath1221.11176MaRDI QIDQ3602977

Nigel Watt

Publication date: 12 February 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesKloosterman sumsprimes in arithmetic progressionsHecke operatorFourier coefficientL-functionsmean value theoremsCarmichael numbersMaass cusp formDirichlet characters

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Estimates on character sums (11L40) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

A Bombieri–Vinogradov-type theorem with prime power moduli ⋮ Breaking the \(\frac{1}{2}\)-barrier for the twisted second moment of Dirichlet \(L\)-functions ⋮ Motohashi’s fourth moment identity for non-archimedean test functions and applications ⋮ WATT'S MEAN VALUE THEOREM AND CARMICHAEL NUMBERS

Cites Work

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• Kloosterman sums and Fourier coefficients of cusp forms
• Hybrid bounds for Dirichlet L-functions
• Kloosterman sums and a mean value for Dirichlet polynomials
• WATT'S MEAN VALUE THEOREM AND CARMICHAEL NUMBERS
• HYBRID BOUNDS FOR DIRICHLET L-FUNCTIONS II
• Power mean values of the Riemann zeta‐function
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• On the Number of Carmichael Numbers up to x

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