Moments of Products of Automorphic L-functions

  • CAROLINE L. TURNAGE-BUTTERBAUGH
  • Published 2013

Abstract

Assuming the generalized Riemann hypothesis, we prove upper bounds for moments of arbitrary products of automorphic L-functions and for Dedekind zeta-functions of Galois number fields on the critical line. As an application, we use these bounds to estimate the variance of the coefficients of these zeta and L-functions in short intervals. We also prove upper… (More)

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