Higher power moments of the Riesz mean error term of symmetric square L-function

  • Liu K
  • Wang H
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Abstract

Let Δρ(x;sym2f) be the error term of the Riesz mean of the symmetric square L-function. We give the higher power moments of Δρ(x;sym2f) and show that if there exists a real number A0:=A0(ρ)>3 such that ∫1T|Δρ(x;sym2f)|A0dx≪T1+2ρ+1/3A0+ε, then we can derive asymptotic formulas for ∫1TΔρh(x;sym2f)dx, 3≤h

Author-supplied keywords

  • Power moment
  • Symmetric square L-function
  • Voronoi-type formula

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Authors

  • Kui Liu

  • Haiyan Wang

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