Tsuzuki, Masao. <br/><br/>
Spectral Means of Central Values of Automorphic  

 - 1st ed. 
 - 1 online resource (144 pages) 
 - Memoirs of the American Mathematical Society ;  v.235 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/> Starting with Green's functions on adele points of \mathrm(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. 
<br/><br/><label>ISBN: </label>9781470422288 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Automorphic functions.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA353.A9 -- .T789 2014eb 
<br/><br/><label>Dewey Class. No.: </label>515/.9