A variant of multiplicity one theorems for half-integral weight modular forms

Published 14 Sep 2017 in math.NT | (1709.04674v1)

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.

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Narasimha Kumar

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