Lithuanian Mathematical Journal

, Volume 46, Issue 4, pp 459–474

On a sum involving Fourier coefficients of cusp forms

  • A. Sankaranarayanan
Article

Abstract

We improve the existing upper bound for the quantity |∑nxa(n2)|, where a(n2) is the n2th Hecke eigenvalue of a normalized holomorphic cusp form (Hecke eigenform) of the full modular group SL(2, ℤ), whenever the weight of the original holomorphic cusp form (Hecke eigenform) lies in a certain range.

Keywords

Rankin-Selberg zeta-function symmetric square L-functions mean-value theorems 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. Sankaranarayanan
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchMumbai

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