Fourier Coefficients Of Some Cusp Forms
General Mathematics
2013-10-11 v2
Abstract
The possible values of the nth Fourier coefficients a(n) of some cusp forms f(z) of weight k => 12 are studied in this article. In particular, the values of the tau function are investigated in some details, and proved that tau(p) =! 0 for all primes p => p_0.
Cite
@article{arxiv.1309.6965,
title = {Fourier Coefficients Of Some Cusp Forms},
author = {N. A. Carella},
journal= {arXiv preprint arXiv:1309.6965},
year = {2013}
}
Comments
Twenty Two Pages. Keywords: Fourier Coefficients, Modular forms, Cusp forms, Tau functions, Lehmer conjecture. Corrections to Theorems 1.2 and 8.1