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Integral mean values of modular \(L\)-functions

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Publication:817254
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DOI10.1016/j.jnt.2004.10.007zbMath1091.11015OpenAlexW1984546215MaRDI QIDQ817254

Qiao Zhang

Publication date: 8 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.10.007


zbMATH Keywords

modular form\(L\)-functionsmean valuesHecke congruence subgroup


Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)


Related Items (3)

On mean values of mollifiers and \(L\)-functions associated to primitive cusp forms ⋮ Simple zeros of modular L -functions ⋮ Moments of products of automorphic \(L\)-functions



Cites Work

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  • Moments of the Riemann zeta function and Eisenstein series. II
  • Kloosterman sums and Fourier coefficients of cusp forms
  • An explicit formula for the fourth power mean of the Riemann zeta- function
  • Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
  • The Fourth Power Moment of the Riemann Zeta Function
  • Non-vanishing of \(L\)-functions and applications


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