TY  - BOOK
AU  - Tsuzuki,Masao
TI  - Spectral Means of Central Values of Automorphic 
T2  - Memoirs of the American Mathematical Society
SN  - 9781470422288
AV  - QA353.A9 -- .T789 2014eb 
U1  - 515/.9 
PY  - 2015///
CY  - Providence, RI
PB  - American Mathematical Society
KW  - Automorphic functions
KW  - Electronic books
N1  - Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Preliminary analysis -- Chapter 4. Green's functions on     (2,ℝ) -- Chapter 5. Green's functions on     (2,  ᵥ) with    a non archimedean place -- Chapter 6. Kernel functions -- Chapter 7. Regularized periods -- Chapter 8. Automorphic Green's functions -- Chapter 9. Automorphic smoothed kernels -- Chapter 10. Periods of regularized automorphic smoothed kernels: the spectral side -- Chapter 11. A geometric expression of automorphic smoothed kernels -- Chapter 12. Periods of regularized automorphic smoothed kernels: the geometric side -- Chapter 13. Asymptotic formulas -- Chapter 14. An error term estimate in the Weyl type asymptotic law -- Chapter 15. Appendix -- Bibliography -- Back Cover
N2  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114326
ER  -