LEADER 03405nam 2200589 450 001 9910788884703321 005 20170816143334.0 010 $a1-4704-0793-0 035 $a(CKB)3360000000464557 035 $a(EBL)3113898 035 $a(SSID)ssj0000888887 035 $a(PQKBManifestationID)11566310 035 $a(PQKBTitleCode)TC0000888887 035 $a(PQKBWorkID)10865682 035 $a(PQKB)11596858 035 $a(MiAaPQ)EBC3113898 035 $a(RPAM)2895924 035 $a(PPN)195412567 035 $a(EXLCZ)993360000000464557 100 $a20140903h19871987 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDimension formulae for the vector spaces of Siegel cusp forms of degree three (II) /$fMinking Eie 210 1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1987. 210 4$dİ1987 215 $a1 online resource (134 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 70, Number 373 300 $a"November 1987, Volume 70, number 373 (first of 6 numbers)"--Cover. 311 $a0-8218-2436-8 320 $aIncludes bibliographical references. 327 $a""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[(2I??i/9)]) and Q(e[(2I??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 I??[sup(2)][sub(3)]""; ""2.4 Conjugacy classes of I??[sup(1)][sub(3)]""; ""2.5 Conjugacy classes of I??[sup(3)][sub(0)]"" 327 $a""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 I??[sup(2)][sub(3)]""; ""3.4 Contributions from conjugacy classes in I??[sup(1)][sub(3)]""; ""3.5 Contributions from conjugacy classes in I??[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"" 327 $a""CHAPTER IV: DIMENSION FORMULAE FOR THE VECTOR SPACES OF SIEGEL CUSP FORMS OF DEGREE THREE""""4.1 Introduction""; ""4.2 Eie's results""; ""4.3 Conjugacy classes of Sp(3, Z)""; ""4.4 The main terms""; ""4.5 Determination of C[sub(1)], C[sub(2)] and C[sub(3)]""; ""4.6 The partial fractions of the generating function""; ""4.7 The generating function for modular form of degree four""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 70, Number 373. 606 $aCusp forms (Mathematics) 606 $aSelberg trace formula 606 $aIntegrals 615 0$aCusp forms (Mathematics) 615 0$aSelberg trace formula. 615 0$aIntegrals. 676 $a510 700 $aEie$b Minking$f1952-$01479861 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788884703321 996 $aDimension formulae for the vector spaces of Siegel cusp forms of degree three (II)$93696204 997 $aUNINA