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arXiv · 1709.04674

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

Narasimha Kumar
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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. 2017-09-14. A variant of multiplicity one theorems for half-integral weight modular forms. https://doi.org/10.4064/aa180123-12-9

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