Spectral means of central values of automorphic L-functions for GL(2) / Masao Tsuzuki.
Material type: TextSeries: Memoirs of the American Mathematical Society ; v 235, no 1110.Publication details: Providence : American Mathematical Society, 2015.Description: vii, 129 p. ; 26 cmISBN:- 9781470410193 (pbk. : alk. paper)
- 510 23 Am512
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Books | ISI Library, Kolkata | 510 Am512 (Browse shelf(Opens below)) | Available | 136681 |
Includes bibliographical references.
1. Introduction --
2. Preliminaries --
3. Preliminary analysis --
4. Green's functions on GL(2, [real numbers]) --
5. Green's functions on GL(2,Fv) with v a non archimedian place --
6. Kernel functions --
7. Regularized periods --
8. Automorphic Green's functions --
9. Automorphic smoothed kernels --
10. Periods of regularized automorphic smoothed kernels: the spectral side --
11. A geometric expression of automorphic smoothed kernels --
12. Periods of regularized automorphic smoothed kernels: the geometric side --
13. Asymptotic formulas --
14. An error term estimate in the Weyl type asymptotic law --
15. Appendix --
Bibliography.
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.
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