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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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms
| Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms |
| Autore | Hatada Kazuyuki |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (177 pages) |
| Disciplina | 512.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Cusp forms (Mathematics)
Hecke operators Eigenvalues Siegel domains Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Siegel modular groups Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Hecke-Petersson operato Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Modular correspondences Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Holomorphic modular for Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20] Algebraic geometry -- Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] -- Rigid analytic geometry Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- $p$-adic cohomology, crystalline cohomology Algebraic geometry -- (Co)homology theory [See also 13Dxx] -- Ãtale and other Grothendieck topologies and (co)homologies Number theory -- Discontinuous groups and automorphic forms [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx] {For relations with quadratic forms, see 11E45} -- Representation-theoreti |
| ISBN |
9781470463434
1470463431 |
| Classificazione | 11F4611F6011F3211F1111G2514G2214F3014F2011F70 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Action of double cosets -- Satake's isomorphisms and Hecke operators -- Estimates for all the eigenvalues of Hecke operators on Siegel cusp forms -- The generalized Ramanujan conjecture in Siegel modular case -- p-Parameters of Siegel cusp eigenforms -- Some applications -- Langlands' L-parameters. |
| Record Nr. | UNINA-9910956223803321 |
|
Hatada Kazuyuki
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||
| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
