Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II) / / Minking Eie

• Autore: Eie Minking <1952->
• Pubblicazione: Providence, Rhode Island, United States : , : American Mathematical Society, , 1987; ©1987
• Descrizione fisica: 1 online resource (134 p.)
• Disciplina: 510
• Soggetto topico: Cusp forms (Mathematics); Selberg trace formula; Integrals
• Note generali: "November 1987, Volume 70, number 373 (first of 6 numbers)"--Cover.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""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""
• Titolo autorizzato: Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II)
• ISBN: 1-4704-0793-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910828912403321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 70, Number 373.