Waldspurger's period integral for newforms
Number Theory
2019-07-29 v1
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}.
Cite
@article{arxiv.1907.11428,
title = {Waldspurger's period integral for newforms},
author = {Yueke Hu and Jie Shu and Hongbo Yin},
journal= {arXiv preprint arXiv:1907.11428},
year = {2019}
}
Comments
This is part of our a previous submition. For the convenience of citition, we submit it seperately again