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arXiv · 2307.10863

Period-like polynomials for $L$-series associated with half-integral weight cusp forms

James Branch·Nikolaos Diamantis·Wissam Raji·Larry Rolen
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Abstract

Given the L-series of a half-integral weight cusp form, we construct a cohomology class with coefficients in a finite dimensional vector space in a way that parallels the Eichler cohomology in the integral weight case. We also define a lift of half-integral weight cusp forms to integral weight modular forms that is compatible with the $L$-series of the respective forms.

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James Branch, Nikolaos Diamantis, Wissam Raji, Larry Rolen. 2023-07-20. Period-like polynomials for $L$-series associated with half-integral weight cusp forms. https://arxiv.org/abs/2307.10863

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