On sign changes for almost prime coefficients of half-integral weight modular forms
Number Theory
2016-03-22 v2
Abstract
For a half-integral weight modular form of weight on such that ( ) are real, we prove for a fixed suitable natural number that changes sign infinitely often as varies over numbers having at most prime factors, assuming the analog of the Ramanujan conjecture for half-integral weight forms.
Cite
@article{arxiv.1504.03948,
title = {On sign changes for almost prime coefficients of half-integral weight modular forms},
author = {Srilakshmi Krishnamoorthy and M. Ram Murty},
journal= {arXiv preprint arXiv:1504.03948},
year = {2016}
}
Comments
To appear in Mathematika