A note concerning certain exponential sums related to cusp forms

Author:

Anne-Maria ERNVALL-HYTÖNEN

AMS Classification:

11L07, 11F11, 11F30

Keywords:

divisor function, estimates, exponential sums, Fourier series, holomorphic cusp forms, Maass forms

Abstract:

We consider certain specific exponential sums related to holomorphic and non-holomorphic cusp forms, give a reformulation for the Lehmer conjecture and note that the Fourier coefficients of holomorphic cusp forms are not very random.

Download paper:

Ernvall-Hytonen-09.pdf

Vol. 4 (12), 2009