solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看2547次
An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms. (arXiv:1710.02789v1 [math.NT])
来源于:arXiv
We give an exact formula of the average of adjoint $L$-functions of
holomorphic Hilbert cusp forms with a fixed weight and a square-free level,
which is a generalization of Zagier's formula known for the case of elliptic
cusp forms on ${\rm SL}_2(\mathbb{Z})$. As an application, we prove that the
Satake parameters of Hilbert cusp forms with a fixed weight and with growing
square-free levels are equidistributed in an ensemble constructed by values of
the adjoint $L$-functions. 查看全文>>