000			03315nam a22004693i 4500
001			EBC3113898
003			MiAaPQ
005			20240729124553.0
006			m o d |
007			cr cnu||||||||
008			240724s1987 xx o ||||0 eng d
020			_a9781470407933 _q(electronic bk.)
020			_z9780821824368
035			_a(MiAaPQ)EBC3113898
035			_a(Au-PeEL)EBL3113898
035			_a(CaPaEBR)ebr10918851
035			_a(OCoLC)891385382
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .E34 1987eb
082	0		_a510
100	1		_aEie, Minking.
245	1	0	_aDimension Formulae for the Vector Spaces of Siegel Cusp Forms of Degree Three.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1987.
264		4	_c©1987.
300			_a1 online resource (134 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.70
505	0		_aIntro -- TABLE OF CONTENTS -- LIST OF NOTATIONS -- INTRODUCTION -- CHAPTER I: FIXED POINTS AND CONJUGACY OF REGULAR ELLIPTIC ELEMENTS IN Sp(3, Z) -- 1.1 Introduction -- 1.2 Notations and basic results -- 1.3 Reducible cases -- 1.4 Symplectic embeddings of Q(e[(2πi/9)]) and Q(e[(2πi/7)]) -- 1.5 Application -- CHAPTER II: CONJUGACY CLASSES OF THE MODULAR GROUP Sp(3, Z) -- 2.1 Introduction -- 2.2 Basic results -- 2.3 Conjugacy classes of Γ[sup(2)][sub(3)] -- 2.4 Conjugacy classes of Γ[sup(1)][sub(3)] -- 2.5 Conjugacy classes of Γ[sup(3)][sub(0)] -- 2.6 Applications and further remarks -- CHAPTER III: EXPLICIT EVALUATIONS -- 3.1 Introduction -- 3.2 Contributions from conjugacy classes of regular elliptic elements -- 3.3 Contribution from conjugacy classes in Γ[sup(2)][sub(3)] -- 3.4 Contributions from conjugacy classes in Γ[sup(1)][sub(3)] -- 3.5 Contributions from conjugacy classes in Γ[sup(0)][sub(3)] -- 3.6 An explicit dimension formula for Siegel cusp forms of degree three -- 3.7 Autemorphic forms of degree three and its generating function -- CHAPTER IV: DIMENSION FORMULAE FOR THE VECTOR SPACES OF SIEGEL CUSP FORMS OF DEGREE THREE -- 4.1 Introduction -- 4.2 Eie's results -- 4.3 Conjugacy classes of Sp(3, Z) -- 4.4 The main terms -- 4.5 Determination of C[sub(1)], C[sub(2)] and C[sub(3)] -- 4.6 The partial fractions of the generating function -- 4.7 The generating function for modular form of degree four -- REFERENCES.
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	_aCusp forms (Mathematics).
650		0	_aSelberg trace formula.
650		0	_aIntegrals.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aEie, Minking _tDimension Formulae for the Vector Spaces of Siegel Cusp Forms of Degree Three _dProvidence : American Mathematical Society,c1987 _z9780821824368
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113898 _zClick to View
999			_c69429 _d69429