000			03062nam a22004573i 4500
001			EBC3114326
003			MiAaPQ
005			20240729124605.0
006			m o d |
007			cr cnu||||||||
008			240724s2015 xx o ||||0 eng d
020			_a9781470422288 _q(electronic bk.)
020			_z9781470410193
035			_a(MiAaPQ)EBC3114326
035			_a(Au-PeEL)EBL3114326
035			_a(CaPaEBR)ebr11040330
035			_a(OCoLC)922981901
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA353.A9 -- .T789 2014eb
082	0		_a515/.9
100	1		_aTsuzuki, Masao.
245	1	0	_aSpectral Means of Central Values of Automorphic _L _-Functions for GL(2).
250			_a1st ed.
264		1	_aProvidence, RI : _bAmerican Mathematical Society, _c2015.
264		4	_c©2015.
300			_a1 online resource (144 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.235
505	0		_aCover -- 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.
520			_aStarting 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aAutomorphic functions.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aTsuzuki, Masao _tSpectral Means of Central Values of Automorphic _L _-Functions for GL(2) _dProvidence, RI : American Mathematical Society,c2015 _z9781470410193
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114326 _zClick to View
999			_c69832 _d69832