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arXiv · 1907.11428

Waldspurger's period integral for newforms

Yueke Hu·Jie Shu·Hongbo Yin
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Abstract

In this paper we discuss Waldspurger's local period integral for newforms in new cases. The main ingredient is the work \cite{HN18} on Waldspurger's period integral using the minimal vectors, and the explicit relation between the newforms and the minimal vectors. We use a representation theoretical trick to simplify computations for newforms. As an example, we compute the local integral coming from a special arithmetic setting which was used to study 3-part full BSD conjecture in \cite{HSY}.

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Yueke Hu, Jie Shu, Hongbo Yin. 2019-07-26. Waldspurger's period integral for newforms. https://arxiv.org/abs/1907.11428

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