Spectral Means of Central Values of Automorphic L-Functions for GL(2)

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Spectral Means of Central Values of Automorphic L-Functions for GL(2) is written by Masao Tsuzuki and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 1470410192 (ISBN 10) and 9781470410193 (ISBN 13).

Starting with Green's functions on adele points of 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 -values attached to cuspidal waveforms with square-free level.