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Integral moments of automorphic L-functions

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Publication:2828362
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DOI10.1142/S179304211650113XzbMath1406.11047MaRDI QIDQ2828362

Xuanxuan Xiao, Hengcai Tang

Publication date: 25 October 2016

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


zbMATH Keywords

Fourier coefficientDirichlet polynomialsautomorphic \(L\)-functionintegral moment


Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)


Related Items (2)

EXTREME VALUES OF THE RANKIN–SELBERG -FUNCTIONS ⋮ Moments of automorphic \(L\)-functions in the strip \(\frac{1}{2}<\sigma <1\)




Cites Work

  • Moments of the Riemann zeta function
  • Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
  • High moments of the Riemann zeta-function
  • Fractional moments of automorphic $L$-functions
  • Integral moments of L-functions
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