An exponential sum involving Fourier coefficients of eigenforms for SL(2 , Z)

Article Type

Research Article

Publication Title

Ramanujan Journal

Abstract

Let λf(n) denote the normalized n-th Fourier coefficient of a holomorphic Hecke eigencuspform or a Hecke–Maass cusp form for the full modular group. In this paper we shall exhibit cancellations in the following sum: ∑N

First Page

699

Last Page

716

DOI

10.1007/s11139-020-00255-0

Publication Date

4-1-2021

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