Quadratic forms connected with Fourier coefficients of holomorphic and Maass cusp forms
Number Theory
2018-10-25 v1
Abstract
In this work we prove a prime number type theorem involving the normalised Fourier coefficients of holomorphic and Maass cusp forms, using the classical circle method. A key point is in a recent paper of Fouvry and Ganguly, based on Hoffstein-Ramakrishnan's result about the non-existence of the Siegel zeros for -functions, which allows us to improve preceding estimates.
Keywords
Cite
@article{arxiv.1810.10424,
title = {Quadratic forms connected with Fourier coefficients of holomorphic and Maass cusp forms},
author = {Giamila Zaghloul},
journal= {arXiv preprint arXiv:1810.10424},
year = {2018}
}
Comments
10 pages