000			03900nam a22005775i 4500
001			978-0-8176-4639-4
003			DE-He213
005			20160302163331.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817646394 _9978-0-8176-4639-4
024	7		_a10.1007/978-0-8176-4639-4 _2doi
050		4	_aQA241-247.5
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
082	0	4	_a512.7 _223
245	1	0	_aEisenstein Series and Applications _h[electronic resource] / _cedited by Wee Teck Gan, Stephen S. Kudla, Yuri Tschinkel.
264		1	_aBoston, MA : _bBirkh�user Boston, _c2008.
300			_aX, 314 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v258
505	0		_aTwisted Weyl Group Multiple Dirichlet Series: The Stable Case -- A Topological Model for Some Summand of the Eisenstein Cohomology of Congruence Subgroups -- The Saito-Kurokawa Space of PGSp4 and Its Transfer to Inner Forms -- Values of Archimedean Zeta Integrals for Unitary Groups -- A Simple Proof of Rationality of Siegel-Weil Eisenstein Series -- Residues of Eisenstein Series and Related Problems -- Some Extensions of the Siegel-Weil Formula -- A Remark on Eisenstein Series -- Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms -- Functoriality and Special Values of L-Functions -- Bounds for Matrix Coefficients and Arithmetic Applications.
520			_aEisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that are not usually interacting with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic: Arakelov intersection theory on Shimura varieties, special values of L-functions and Iwasawa theory, and equidistribution of rational/integer points on homogeneous varieties. Key questions that are considered include: Is it possible to identify a class of Eisenstein series whose Fourier coefficients (resp. special values) encode significant arithmetic information? Do such series fit into p-adic families? Are the Eisenstein series that arise in counting problems of this type? Contributors include: B. Brubaker, D. Bump, J. Franke, S. Friedberg, W.T. Gan, P. Garrett, M. Harris, D. Jiang, S.S. Kudla, E. Lapid, K. Prasanna, A. Raghuram, F. Shahidi, R. Takloo-Bighash.
650		0	_aMathematics.
650		0	_aAlgebraic geometry.
650		0	_aTopological groups.
650		0	_aLie groups.
650		0	_aApplied mathematics.
650		0	_aEngineering mathematics.
650		0	_aGeometry.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aNumber Theory.
650	2	4	_aApplications of Mathematics.
650	2	4	_aGeometry.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aTopological Groups, Lie Groups.
700	1		_aGan, Wee Teck. _eeditor.
700	1		_aKudla, Stephen S. _eeditor.
700	1		_aTschinkel, Yuri. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817644963
830		0	_aProgress in Mathematics ; _v258
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4639-4
912			_aZDB-2-SMA
999			_c180622 _d180622