03408nam 2200589 450 991048057830332120170816143334.01-4704-0793-0(CKB)3360000000464557(EBL)3113898(SSID)ssj0000888887(PQKBManifestationID)11566310(PQKBTitleCode)TC0000888887(PQKBWorkID)10865682(PQKB)11596858(MiAaPQ)EBC3113898(PPN)195412567(EXLCZ)99336000000046455720140903h19871987 uy 0engur|n|---|||||txtccrDimension formulae for the vector spaces of Siegel cusp forms of degree three (II) /Minking EieProvidence, Rhode Island, United States :American Mathematical Society,1987.©19871 online resource (134 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 70, Number 373"November 1987, Volume 70, number 373 (first of 6 numbers)"--Cover.0-8218-2436-8 Includes bibliographical references.""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[(2Ï€i/9)]) and Q(e[(2Ï€i/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 Î?[sup(2)][sub(3)]""; ""2.4 Conjugacy classes of Î?[sup(1)][sub(3)]""; ""2.5 Conjugacy classes of Î?[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 Î?[sup(2)][sub(3)]""; ""3.4 Contributions from conjugacy classes in Î?[sup(1)][sub(3)]""; ""3.5 Contributions from conjugacy classes in Î?[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""Memoirs of the American Mathematical Society ;Volume 70, Number 373.Cusp forms (Mathematics)Selberg trace formulaIntegralsElectronic books.Cusp forms (Mathematics)Selberg trace formula.Integrals.510Eie Minking1952-899499MiAaPQMiAaPQMiAaPQBOOK9910480578303321Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II)2009845UNINA