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Abstract
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We investigate the nonvanishing properties of shifted products
,
, for a fixed
positive integer
.
The focus is on Fourier coefficients associated with half-integral weight modular
forms. This study serves as an extension of work of Hofmann and Kohnen (Forum
Math. 29:1 (2017), 245–250).
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Keywords
cusp forms, Fourier coefficients, half-integral weight,
$L$-function
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Mathematical Subject Classification
Primary: 11F12, 11F30
Secondary: 11F37
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Milestones
Received: 22 June 2023
Revised: 14 February 2024
Accepted: 1 March 2024
Published: 22 March 2024
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