000			04275nam a22004813i 4500
001			EBC3114004
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005			20240729124557.0
006			m o d |
007			cr cnu||||||||
008			240724s1984 xx o ||||0 eng d
020			_a9781470407179 _q(electronic bk.)
020			_z9780821823057
035			_a(MiAaPQ)EBC3114004
035			_a(Au-PeEL)EBL3114004
035			_a(CaPaEBR)ebr10918957
035			_a(OCoLC)922981525
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .E34 1984eb
082	0		_a512/.72
100	1		_aEie, Minking.
245	1	0	_aDimensions of Spaces of Siegel Cusp Forms of Degree Two and Three.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1984.
264		4	_c©1984.
300			_a1 online resource (194 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.50
505	0		_aIntro -- TABLE OF CONTENTS -- LIST OF NOTATIONS -- INTRODUCTION -- CHAPTER I: CONJUGACY CLASSES OF Sp (2 , Z) -- 1.1 Introduction -- 1.2 Representatives of conjugacy classes of finite order elements -- 1.3 Conjugacy classes of finite order elements in Sp (2 , Z) -- 1.4 Conjugacy classes of Γ1[sup(∞)] -- 1.5 Conjugacy classes of Γ0[sup(∞)] -- CHAPTER II: DIMENSION FORMULA FOR THE VECTOR SPACE OF CUSP FORMS OF DEGREE TWO WITH RESPECT TO Sp (2 , Z) -- 2.1 Introduction -- 2.2 Contributions from elliptic conjugacy classes -- 2.3 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points (I) -- 2.4 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points (II) -- 2.5 Contributions from conjugacy classes of elements having a two-dimensional set of fixed points -- 2.6 Contributions from conjugacy classes of unipotent elements -- 2.7 A dimension formula for the vector space of cusp forms with respect to Sp (2 , Z) -- CHAPTER III: REPRESENTATIVES OF CONJUGACY CLASSES OF ELEMENTS OF Sp (3 , Z) IN Sp (3 , R) -- 3.1 Introduction -- 3.2 Conjugacy classes of torsion elements in Sp (3 , Z) -- 3.3 A classification of conjugacy classes of Sp (3 , Z) -- 3.4 Selberg's trace formula and its modification -- 3.5 Conjugacy classes with zero contribution (I) -- 3.6 Conjugacy classes with zero contribution (II) -- CHAPTER IV: CONTRIBUTIONS FROM CONJUGACY CLASSES IN Δ ∪ Δ[sub(1)] ∪ Δ[sub(2)] ∪ Δ[sub(0)] -- 4.1 Introduction -- 4.2 Contributions from elliptic conjugacy classes -- 4.3 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points -- 4.4 Contributions from conjugacy classes of elements having a one-dimensional set of fixed points -- 4.5 Contributions from conjugacy classes of elements having a two-dimensional set of fixed points.
505	8		_a4.6 Second case of conjugacy classes of elements having a one-dimensional set of fixed points -- 4.7 Second case of conjugacy classes of elements having a two-dimensional set of fixed points -- CHAPTER V: CONTRIBUTIONS FROM CONJUGACY CLASSES IN Δ[sub(0)] -- 5.1 Introduction -- 5.2 A dimension formula for the principal congruencesubgroup Γ[sub(2)](N) -- 5.3 Contributions from Δ[sub(0)](I) -- 5.4 A dimension formula for the principal congruence subgroup Γ[sub(3)](N) -- 5.5 Contributions from Δ[sub(0)](II) -- 5.6 A final remark -- 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 _tDimensions of Spaces of Siegel Cusp Forms of Degree Two and Three _dProvidence : American Mathematical Society,c1984 _z9780821823057
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114004 _zClick to View
999			_c69535 _d69535