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Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II) / / Minking Eie
Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II) / / Minking Eie
Autore Eie Minking <1952->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Descrizione fisica 1 online resource (134 p.)
Disciplina 510
Collana Memoirs of the American Mathematical Society
Soggetto topico Cusp forms (Mathematics)
Selberg trace formula
Integrals
Soggetto genere / forma Electronic books.
ISBN 1-4704-0793-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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""
Record Nr. UNINA-9910480578303321
Eie Minking <1952->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II) / / Minking Eie
Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II) / / Minking Eie
Autore Eie Minking <1952->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Descrizione fisica 1 online resource (134 p.)
Disciplina 510
Collana Memoirs of the American Mathematical Society
Soggetto topico Cusp forms (Mathematics)
Selberg trace formula
Integrals
ISBN 1-4704-0793-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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""
Record Nr. UNINA-9910788884703321
Eie Minking <1952->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II) / / Minking Eie
Dimension formulae for the vector spaces of Siegel cusp forms of degree three (II) / / Minking Eie
Autore Eie Minking <1952->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Descrizione fisica 1 online resource (134 p.)
Disciplina 510
Collana Memoirs of the American Mathematical Society
Soggetto topico Cusp forms (Mathematics)
Selberg trace formula
Integrals
ISBN 1-4704-0793-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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""
Record Nr. UNINA-9910828912403321
Eie Minking <1952->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1987
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dimensions of spaces of Siegel cusp forms of degree two and three / / Minking Eie
Dimensions of spaces of Siegel cusp forms of degree two and three / / Minking Eie
Autore Eie Minking <1952->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1984
Descrizione fisica 1 online resource (194 p.)
Disciplina 512/.72
Collana Memoirs of the American Mathematical Society
Soggetto topico Cusp forms (Mathematics)
Selberg trace formula
Integrals
Soggetto genere / forma Electronic books.
ISBN 1-4704-0717-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""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""
""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""; ""4.6 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 Î?[sub(0)]""; ""5.1 Introduction""; ""5.2 A dimension formula for the principal congruencesubgroup Î?[sub(2)](N)""
""5.3 Contributions from Î?[sub(0)](I)""""5.4 A dimension formula for the principal congruence subgroup Î?[sub(3)](N)""; ""5.5 Contributions from Î?[sub(0)](II)""; ""5.6 A final remark""; ""REFERENCES""
Record Nr. UNINA-9910480533703321
Eie Minking <1952->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1984
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dimensions of spaces of Siegel cusp forms of degree two and three / / Minking Eie
Dimensions of spaces of Siegel cusp forms of degree two and three / / Minking Eie
Autore Eie Minking <1952->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1984
Descrizione fisica 1 online resource (194 p.)
Disciplina 512/.72
Collana Memoirs of the American Mathematical Society
Soggetto topico Cusp forms (Mathematics)
Selberg trace formula
Integrals
ISBN 1-4704-0717-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""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""
""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""; ""4.6 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 Î?[sub(0)]""; ""5.1 Introduction""; ""5.2 A dimension formula for the principal congruencesubgroup Î?[sub(2)](N)""
""5.3 Contributions from Î?[sub(0)](I)""""5.4 A dimension formula for the principal congruence subgroup Î?[sub(3)](N)""; ""5.5 Contributions from Î?[sub(0)](II)""; ""5.6 A final remark""; ""REFERENCES""
Record Nr. UNINA-9910788887803321
Eie Minking <1952->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1984
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Dimensions of spaces of Siegel cusp forms of degree two and three / / Minking Eie
Dimensions of spaces of Siegel cusp forms of degree two and three / / Minking Eie
Autore Eie Minking <1952->
Pubbl/distr/stampa Providence, Rhode Island, United States : , : American Mathematical Society, , 1984
Descrizione fisica 1 online resource (194 p.)
Disciplina 512/.72
Collana Memoirs of the American Mathematical Society
Soggetto topico Cusp forms (Mathematics)
Selberg trace formula
Integrals
ISBN 1-4704-0717-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""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""
""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""; ""4.6 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 Î?[sub(0)]""; ""5.1 Introduction""; ""5.2 A dimension formula for the principal congruencesubgroup Î?[sub(2)](N)""
""5.3 Contributions from Î?[sub(0)](I)""""5.4 A dimension formula for the principal congruence subgroup Î?[sub(3)](N)""; ""5.5 Contributions from Î?[sub(0)](II)""; ""5.6 A final remark""; ""REFERENCES""
Record Nr. UNINA-9910828763803321
Eie Minking <1952->  
Providence, Rhode Island, United States : , : American Mathematical Society, , 1984
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Level one algebraic cusp forms of classical groups of small rank / / Gaëtan Chenevier, David Renard
Level one algebraic cusp forms of classical groups of small rank / / Gaëtan Chenevier, David Renard
Autore Chenevier Gaëtan
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (127 pages)
Disciplina 512.7/4
Collana Memoirs of the American Mathematical Society
Soggetto topico Forms (Mathematics)
Cusp forms (Mathematics)
Soggetto genere / forma Electronic books.
ISBN 1-4704-2509-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480028303321
Chenevier Gaëtan  
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Level one algebraic cusp forms of classical groups of small rank / / Gaëtan Chenevier, David Renard
Level one algebraic cusp forms of classical groups of small rank / / Gaëtan Chenevier, David Renard
Autore Chenevier Gaëtan
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (127 pages)
Disciplina 512.7/4
Collana Memoirs of the American Mathematical Society
Soggetto topico Forms (Mathematics)
Cusp forms (Mathematics)
ISBN 1-4704-2509-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910798789203321
Chenevier Gaëtan  
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Level one algebraic cusp forms of classical groups of small rank / / Gaëtan Chenevier, David Renard
Level one algebraic cusp forms of classical groups of small rank / / Gaëtan Chenevier, David Renard
Autore Chenevier Gaëtan
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2015
Descrizione fisica 1 online resource (127 pages)
Disciplina 512.7/4
Collana Memoirs of the American Mathematical Society
Soggetto topico Forms (Mathematics)
Cusp forms (Mathematics)
ISBN 1-4704-2509-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910806256803321
Chenevier Gaëtan  
Providence, Rhode Island : , : American Mathematical Society, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces / / Steven Zelditch
Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions : finite area surfaces / / Steven Zelditch
Autore Zelditch Steven <1953->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1992
Descrizione fisica 1 online resource (113 p.)
Disciplina 516.3/6
Collana Memoirs of the American Mathematical Society
Soggetto topico Curves on surfaces
Geodesics (Mathematics)
Cusp forms (Mathematics)
Eisenstein series
Soggetto genere / forma Electronic books.
ISBN 1-4704-0891-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; "" 0. Introduction""; "" 1. Review of [Z .2] on the compact case""; "" 2. Trace formula for Tr Ï?R[sup(âŒ?)][sub(Ï?)] (Ï?cuspidal)""; "" 3. Trace formula for Tr Ï?R[sup(âŒ?)][sub(Ï?)] (Ï? Eisenstein)""; "" 4. Spectral estimates (Weyl laws)""; "" 5. Asymptotic expansions (Prime geodesic theorems)""; "" 6. Equidistribution of closed geodesics""; ""Appendix: Notations, Definitions and Background""; ""References""
Record Nr. UNINA-9910480539203321
Zelditch Steven <1953->  
Providence, Rhode Island : , : American Mathematical Society, , 1992
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui