000			03061nam a22004455i 4500
001			978-0-387-78753-4
003			DE-He213
005			20251006084419.0
007			cr nn 008mamaa
008			100715s2009 xxu| s |||| 0|eng d
020			_a9780387787534
020			_a99780387787534
024	7		_a10.1007/978-0-387-78753-4 _2doi
082	0	4	_a512.7 _223
100	1		_aAndrianov, Anatoli. _eauthor.
245	1	0	_aIntroduction to Siegel Modular Forms and Dirichlet Series _h[electronic resource] / _cby Anatoli Andrianov.
264		1	_aNew York, NY : _bSpringer US, _c2009.
300			_aXII, 184p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext, _x0172-5939
505	0		_aModular Forms -- Dirichlet Series of Modular Forms -- Hecke-Shimura Rings of Double Cosets -- Hecke Operators -- Euler Factorization of Radial Series.
520			_aIntroduction to Siegel Modular Forms and Dirichlet Series gives a concise and self-contained introduction to the multiplicative theory of Siegel modular forms, Hecke operators, and zeta functions, including the classical case of modular forms in one variable. It serves to attract young researchers to this beautiful field and makes the initial steps more pleasant. It treats a number of questions that are rarely mentioned in other books. It is the first and only book so far on Siegel modular forms that introduces such important topics as analytic continuation and the functional equation of spinor zeta functions of Siegel modular forms of genus two. Unique features include: * New, simplified approaches and a fresh outlook on classical problems * The abstract theory of Heckeâ€"Shimura rings for symplectic and related groups * The action of Hecke operators on Siegel modular forms * Applications of Hecke operators to a study of the multiplicative properties of Fourier coefficients of modular forms * The proof of analytic continuation and the functional equation (under certain assumptions) for Euler products associated with modular forms of genus two *Numerous exercises Anatoli Andrianov is a leading researcher at the St. Petersburg branch of the Steklov Mathematical Institute of the Russian Academy of Sciences. He is well known for his works on the arithmetic theory of automorphic functions and quadratic forms, a topic on which he has lectured at many universities around the world.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aNUMBER THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aNUMBER THEORY.
650	2	4	_aALGEBRA.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387787527
830		0	_aUniversitext, _x0172-5939
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-78753-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59109 _d59109