Starting with Green's functions on adele points of $mathrm{GL}(2)$ considered over a totally real number field, the author elaborates an explicit version of the relative trace formula, whose spectral side encodes the informaton on period integrals of cuspidal waveforms along a maximal split torus. As an application, he proves two kinds of asymptotic mean formula for certain central $L$-values attached to cuspidal waveforms with square-free level.
ISBN: | 9781470422288 |
Publication date: | 4th September 2015 |
Author: | Tsuzuki, Masao |
Publisher: | American Mathematical Society |
Format: | Ebook (PDF) |