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.
Product Identifiers
Publisher
American Mathematical Society
ISBN-13
9781470410193
eBay Product ID (ePID)
213985460
Product Key Features
Author
Masao Tsuzuki
Publication Name
Spectral Means of Central Values of Automorphic $L$-Functions for Gl (2)
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2015
Type
Textbook
Number of Pages
129 Pages
Dimensions
Item Height
254mm
Item Width
178mm
Additional Product Features
Title_Author
Masao Tsuzuki
Series Title
Memoirs of the American Mathematical Society
Country/Region of Manufacture
United States
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