Abstract
We improve the existing upper bound for the quantity |∑ n⩽x a(n 2)|, where a(n 2) is the n 2th 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.
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Published in Lietuvos Matematikos Rinkinys, Vol. 46, No. 4, pp. 565–583, October–December, 2006.
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Sankaranarayanan, A. On a sum involving Fourier coefficients of cusp forms. Lith Math J 46, 459–474 (2006). https://doi.org/10.1007/s10986-006-0042-y
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DOI: https://doi.org/10.1007/s10986-006-0042-y