Paperback (30 Apr 2015)
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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: | 9781470410193 |
| Publisher: | American Mathematical Society |
| Imprint: | American Mathematical Society |
| Pub date: | 30 Apr 2015 |
| DEWEY: | 515.9 |
| DEWEY edition: | 23 |
| Language: | English |
| Number of pages: | vii, 129 |
| Weight: | 217g |
| Height: | 254mm |
| Width: | 178mm |
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