A variant of multiplicity one theorems for half-integral weight modular forms
Number Theory
2020-01-28 v1
Abstract
We show that signs of Fourier coefficients, on certain sub-families, determine the half-integral weight cuspidal eigenform uniquely, up to a positive constant. We also study sign change results for the product of the Fourier coefficients of two distinct half-integral weight eigenforms.
Cite
@article{arxiv.1709.04674,
title = {A variant of multiplicity one theorems for half-integral weight modular forms},
author = {Narasimha Kumar},
journal= {arXiv preprint arXiv:1709.04674},
year = {2020}
}