On sums of Fourier coefficients of cusp forms

Abstract

The summatory function of $t_j(n^2)$ is estimated, where $H_j(s)={\sum }_{n=1}^{\infty }{t}_j(n)n^{-s}$ is the Hecke series of a non-holomorphic cusp form. The analogous problem of holomorphic cusp forms is also treated.

arXiv comment5 pages

Cited by in corpus (6)

• On the Tong-type identity and the mean square of the error term for an extended Selberg class
• The Second Moment of Sums of Coefficients of Cusp Forms
• Sign Changes of Coefficients and Sums of Coefficients of L-Functions
• Short-Interval Averages of Sums of Fourier Coefficients of Cusp Forms
• Transition Mean Values of Shifted Convolution Sums
• An Explicit Formula For The Divisor Function