| Description |
1 online resource (134 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; Volume 70, Number 373 |
|
Memoirs of the American Mathematical Society ; Volume 70, no. 373.
|
| Contents |
""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 THREE4.1 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 |
| Notes |
"November 1987, Volume 70, number 373 (first of 6 numbers)"--Cover |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
|
Print version record |
| Subject |
Cusp forms (Mathematics)
|
|
Selberg trace formula.
|
|
Integrals.
|
|
Cusp forms (Mathematics)
|
|
Integrals
|
|
Selberg trace formula
|
| Form |
Electronic book
|
| ISBN |
9781470407933 |
|
1470407930 |
|
