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Quadratic forms connected with Fourier coefficients of holomorphic and Maass cusp forms

Authors :
Zaghloul, Giamila
Source :
Jornal of Number Theory 167 (2016) 118-127
Publication Year :
2018

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 $GL(2)$ $L$-functions, which allows us to improve preceding estimates.<br />Comment: 10 pages

Subjects

Subjects :
Mathematics - Number Theory
11F30

Details

Database :
arXiv
Journal :
Jornal of Number Theory 167 (2016) 118-127
Publication Type :
Report
Accession number :
edsarx.1810.10424
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jnt.2016.03.018