On a sum involving Fourier coefficients of cusp forms
- Cite this article as:
- Sankaranarayanan, A. Lith Math J (2006) 46: 459. doi:10.1007/s10986-006-0042-y
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We improve the existing upper bound for the quantity |∑n⩽xa(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.