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An approach to the Selberg trace formula via the Selberg zeta-function / / Jurgen Fischer
| An approach to the Selberg trace formula via the Selberg zeta-function / / Jurgen Fischer |
| Autore | Fischer Jürgen |
| Edizione | [1st ed. 1987.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , 1987 |
| Descrizione fisica | 1 online resource (IV, 188 p.) |
| Disciplina | 515.56 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico |
Functions, Zeta
Number theory Selberg trace formula |
| ISBN | 3-540-39331-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic facts -- The trace of the iterated resolvent kernel -- The entire function ? associated with the selberg zeta-function -- The general selberg trace formula. |
| Record Nr. | UNISA-996466498003316 |
Fischer Jürgen
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| Berlin : , : Springer-Verlag, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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An approach to the Selberg trace formula via the Selberg zeta-function / Jurgen Fischer
| An approach to the Selberg trace formula via the Selberg zeta-function / Jurgen Fischer |
| Autore | Fischer, Jurgen |
| Pubbl/distr/stampa | Berlin ; Heidelberg : Springer-Verlag, 1987 |
| Descrizione fisica | 184 p. ; 24 cm. |
| Disciplina | 512.7 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1253 |
| Soggetto topico |
Number theory
Selberg trace formula Zeta-functions |
| ISBN | 3540152083 |
| Classificazione |
AMS 11-XX
AMS 11F72 AMS 58G25 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000691509707536 |
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Fischer, Jurgen
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| Berlin ; Heidelberg : Springer-Verlag, 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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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 |
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Eie Minking <1952->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
| 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 |
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Eie Minking <1952->
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||
| 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 |
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Eie Minking <1952->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1987 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Eie Minking <1952->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Eie Minking <1952->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Eigenvalues of the Laplacian for Hecke triangle groups / / Dennis A. Hejhal
| Eigenvalues of the Laplacian for Hecke triangle groups / / Dennis A. Hejhal |
| Autore | Hejhal Dennis A. |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (177 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Automorphic functions Eigenvalues Laplacian operator |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0895-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""0. Foreword""; ""I. Eigenvalues of the Laplacian for Hecke Triangle Groups""; ""1. Introduction and preliminary remarks""; ""2. The procedure in a nutshell""; ""3. Some theoretical difficulties""; ""4. Coefficient relations for N = 4 and 6""; ""5. ""Odd"" eigenvalues for N = 4, 5, 6, 7""; ""6. ""Even"" eigenvalues for N = 4, 5, 6, 7""; ""7. Some examples""; ""8. Some remarks about pseudo cusp forms""; ""9. Concluding remarks""; ""References""; ""Appendix A""; ""II. (Reprint of) Eigenvalues of the Laplacian for PSL(2,Z): Some New Results and Computational Techniques""
""1. Introduction""""2. The basic procedure""; ""3. Some informal remarks concerning implementation of the basic procedure""; ""4. Further remarks""; ""5. The even eigenvalues less than 50""; ""6. The odd eigenvalues less than 50""; ""7. Even eigenvalues around R = 125""; ""8. Even eigenvalues around R = 250""; ""9. Even eigenvalues around R = 500""; ""10. Gaining greater accuracy""; ""11. Concluding remarks""; ""References""; ""Appendix B"" |
| Record Nr. | UNINA-9910480745103321 |
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Hejhal Dennis A.
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Eigenvalues of the Laplacian for Hecke triangle groups / / Dennis A. Hejhal
| Eigenvalues of the Laplacian for Hecke triangle groups / / Dennis A. Hejhal |
| Autore | Hejhal Dennis A. |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (177 p.) |
| Disciplina | 512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Selberg trace formula
Automorphic functions Eigenvalues Laplacian operator |
| ISBN | 1-4704-0895-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""0. Foreword""; ""I. Eigenvalues of the Laplacian for Hecke Triangle Groups""; ""1. Introduction and preliminary remarks""; ""2. The procedure in a nutshell""; ""3. Some theoretical difficulties""; ""4. Coefficient relations for N = 4 and 6""; ""5. ""Odd"" eigenvalues for N = 4, 5, 6, 7""; ""6. ""Even"" eigenvalues for N = 4, 5, 6, 7""; ""7. Some examples""; ""8. Some remarks about pseudo cusp forms""; ""9. Concluding remarks""; ""References""; ""Appendix A""; ""II. (Reprint of) Eigenvalues of the Laplacian for PSL(2,Z): Some New Results and Computational Techniques""
""1. Introduction""""2. The basic procedure""; ""3. Some informal remarks concerning implementation of the basic procedure""; ""4. Further remarks""; ""5. The even eigenvalues less than 50""; ""6. The odd eigenvalues less than 50""; ""7. Even eigenvalues around R = 125""; ""8. Even eigenvalues around R = 250""; ""9. Even eigenvalues around R = 500""; ""10. Gaining greater accuracy""; ""11. Concluding remarks""; ""References""; ""Appendix B"" |
| Record Nr. | UNINA-9910788878103321 |
|
Hejhal Dennis A.
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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