A variant of multiplicity one theorems for half-integral weight modular forms
Volume 190 / 2019
Acta Arithmetica 190 (2019), 75-85
MSC: Primary 11F03, 11F11, 11F37; Secondary 11F30.
DOI: 10.4064/aa180123-12-9
Published online: 7 June 2019
Abstract
We show that the signs of Fourier coefficients on certain subfamilies determine a half-integral weight cuspidal eigenform uniquely up to a constant. We also prove sign change results for the product of Fourier coefficients of two distinct half-integral weight eigenforms.
