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

Authors

Ratnadeep Acharya, Indian Statistical Institute, Kolkata
Saurabh Kumar Singh, Indian Statistical Institute, Kolkata

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

Recommended Citation

Acharya, Ratnadeep and Singh, Saurabh Kumar, "An exponential sum involving Fourier coefficients of eigenforms for SL(2 , Z)" (2021). Journal Articles. 2027.
https://digitalcommons.isical.ac.in/journal-articles/2027