On $p$-adic Measures for Quaternionic Modular Forms

Yubo Jin

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arXiv · 2209.11822

On $p$-adic Measures for Quaternionic Modular Forms

Yubo Jin

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Abstract

The purpose of this paper is to study the special values of the standard $L$-functions for quaternionic modular forms using the doubling method. We obtain an integral representation for the $L$-function twisted by a character and construct the $p$-adic measure interpolating certain special $L$-values.

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Yubo Jin. 2022-09-23. On $p$-adic Measures for Quaternionic Modular Forms. https://arxiv.org/abs/2209.11822

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