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Elliptic modular functions : an introduction / B. Schoeneberg ; translated from the German by J. R. Smart and E. A. Schwandt
| Elliptic modular functions : an introduction / B. Schoeneberg ; translated from the German by J. R. Smart and E. A. Schwandt |
| Autore | Schoeneberg, Bruno |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1974 |
| Descrizione fisica | viii, 232 p. : ill. ; 24 cm. |
| Disciplina | 515.93 |
| Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 203 |
| Soggetto topico |
Elliptic functions
Modular functions Modular groups |
| ISBN | 354006382X |
| Classificazione | AMS 30F35 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000858319707536 |
Schoeneberg, Bruno
|
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| Berlin : Springer-Verlag, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu
| Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu |
| Autore | Sommerhäuser Yorck <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Modular groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9108-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. The Modular Group""; ""1.1. Generators and relations""; ""1.2. Congruence subgroups""; ""1.3. Orbits and congruence relations""; ""1.4. Presentations of the reduced modular group""; ""Chapter 2. Quasitriangular Hopf Algebras""; ""2.1. Quasitriangular Hopf algebras""; ""2.2. The Drinfel�d double construction""; ""2.3. Integrals of the Drinfel�d double""; ""2.4. Twisting""; ""Chapter 3. Factorizable Hopf Algebras""; ""3.1. Doubles of quasitriangular Hopf algebras""; ""3.2. Factorizable Hopf algebras""
""3.3. The coproduct of the evaluation form""""3.4. The double and the tensor product""; ""3.5. Integrals of factorizable Hopf algebras""; ""Chapter 4. The Action of the Modular Group""; ""4.1. The role of the integral""; ""4.2. The inverse of \ ""; ""4.3. Ribbon elements""; ""4.4. The linearity of the action""; ""4.5. Integrals, ribbon elements, and the double""; ""4.6. The modular group and the double""; ""Chapter 5. The Semisimple Case""; ""5.1. The character ring""; ""5.2. The Verlinde matrix""; ""5.3. Matrix identities""; ""5.4. A comparison""; ""5.5. The exponent"" ""5.6. Radford�s example""""Chapter 6. The Case of the Drinfel�d Double""; ""6.1. The role of the evaluation form""; ""6.2. The new maps""; ""6.3. The first relation""; ""6.4. The second approach to the action of the modular group""; ""6.5. Matrix representations of the new maps""; ""Chapter 7. Induced Modules""; ""7.1. Induction""; ""7.2. Induction and duality""; ""7.3. The relation with the center construction""; ""7.4. The relation of the coherence properties""; ""7.5. Adjoint functors""; ""7.6. More coherence properties""; ""Chapter 8. Equivariant Frobenius-Schur Indicators"" ""8.1. Equivariant Frobenius-Schur indicators""""8.2. Indicators and duality""; ""8.3. The equivariance theorem""; ""8.4. The orbit theorem""; ""Chapter 9. Two Congruence Subgroup Theorems""; ""9.1. The action on the character ring""; ""9.2. Induction and multiplicities""; ""9.3. The congruence subgroup theorem for the Drinfel�d double""; ""9.4. The projective congruence subgroup theorem""; ""Chapter 10. The Action of the Galois Group""; ""10.1. The Galois group and the character ring""; ""10.2. The semilinear actions""; ""10.3. The action on the center"" ""10.4. Representations of the Drinfel�d double""""10.5. The equivariance of the isomorphism""; ""Chapter 11. Galois Groups and Indicators""; ""11.1. A digression on Frobenius algebras""; ""11.2. The invariance of the induced trivial module""; ""11.3. The action and the indicators""; ""11.4. Diagonal matrices""; ""11.5. The Galois group and the modular group""; ""Chapter 12. Galois Groups and Congruence Subgroups""; ""12.1. The Hopf symbol""; ""12.2. Properties of the Hopf symbol""; ""12.3. The Hopf symbol and the Jacobi symbol""; ""12.4. The linear congruence subgroup theorem""; ""Notes"" ""Bibliography"" |
| Record Nr. | UNINA-9910480527203321 |
|
Sommerhäuser Yorck <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu
| Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu |
| Autore | Sommerhäuser Yorck <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Modular groups |
| ISBN | 0-8218-9108-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. The Modular Group""; ""1.1. Generators and relations""; ""1.2. Congruence subgroups""; ""1.3. Orbits and congruence relations""; ""1.4. Presentations of the reduced modular group""; ""Chapter 2. Quasitriangular Hopf Algebras""; ""2.1. Quasitriangular Hopf algebras""; ""2.2. The Drinfel�d double construction""; ""2.3. Integrals of the Drinfel�d double""; ""2.4. Twisting""; ""Chapter 3. Factorizable Hopf Algebras""; ""3.1. Doubles of quasitriangular Hopf algebras""; ""3.2. Factorizable Hopf algebras""
""3.3. The coproduct of the evaluation form""""3.4. The double and the tensor product""; ""3.5. Integrals of factorizable Hopf algebras""; ""Chapter 4. The Action of the Modular Group""; ""4.1. The role of the integral""; ""4.2. The inverse of \ ""; ""4.3. Ribbon elements""; ""4.4. The linearity of the action""; ""4.5. Integrals, ribbon elements, and the double""; ""4.6. The modular group and the double""; ""Chapter 5. The Semisimple Case""; ""5.1. The character ring""; ""5.2. The Verlinde matrix""; ""5.3. Matrix identities""; ""5.4. A comparison""; ""5.5. The exponent"" ""5.6. Radford�s example""""Chapter 6. The Case of the Drinfel�d Double""; ""6.1. The role of the evaluation form""; ""6.2. The new maps""; ""6.3. The first relation""; ""6.4. The second approach to the action of the modular group""; ""6.5. Matrix representations of the new maps""; ""Chapter 7. Induced Modules""; ""7.1. Induction""; ""7.2. Induction and duality""; ""7.3. The relation with the center construction""; ""7.4. The relation of the coherence properties""; ""7.5. Adjoint functors""; ""7.6. More coherence properties""; ""Chapter 8. Equivariant Frobenius-Schur Indicators"" ""8.1. Equivariant Frobenius-Schur indicators""""8.2. Indicators and duality""; ""8.3. The equivariance theorem""; ""8.4. The orbit theorem""; ""Chapter 9. Two Congruence Subgroup Theorems""; ""9.1. The action on the character ring""; ""9.2. Induction and multiplicities""; ""9.3. The congruence subgroup theorem for the Drinfel�d double""; ""9.4. The projective congruence subgroup theorem""; ""Chapter 10. The Action of the Galois Group""; ""10.1. The Galois group and the character ring""; ""10.2. The semilinear actions""; ""10.3. The action on the center"" ""10.4. Representations of the Drinfel�d double""""10.5. The equivariance of the isomorphism""; ""Chapter 11. Galois Groups and Indicators""; ""11.1. A digression on Frobenius algebras""; ""11.2. The invariance of the induced trivial module""; ""11.3. The action and the indicators""; ""11.4. Diagonal matrices""; ""11.5. The Galois group and the modular group""; ""Chapter 12. Galois Groups and Congruence Subgroups""; ""12.1. The Hopf symbol""; ""12.2. Properties of the Hopf symbol""; ""12.3. The Hopf symbol and the Jacobi symbol""; ""12.4. The linear congruence subgroup theorem""; ""Notes"" ""Bibliography"" |
| Record Nr. | UNINA-9910788618803321 |
|
Sommerhäuser Yorck <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu
| Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu |
| Autore | Sommerhäuser Yorck <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (134 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hopf algebras
Modular groups |
| ISBN | 0-8218-9108-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. The Modular Group""; ""1.1. Generators and relations""; ""1.2. Congruence subgroups""; ""1.3. Orbits and congruence relations""; ""1.4. Presentations of the reduced modular group""; ""Chapter 2. Quasitriangular Hopf Algebras""; ""2.1. Quasitriangular Hopf algebras""; ""2.2. The Drinfel�d double construction""; ""2.3. Integrals of the Drinfel�d double""; ""2.4. Twisting""; ""Chapter 3. Factorizable Hopf Algebras""; ""3.1. Doubles of quasitriangular Hopf algebras""; ""3.2. Factorizable Hopf algebras""
""3.3. The coproduct of the evaluation form""""3.4. The double and the tensor product""; ""3.5. Integrals of factorizable Hopf algebras""; ""Chapter 4. The Action of the Modular Group""; ""4.1. The role of the integral""; ""4.2. The inverse of \ ""; ""4.3. Ribbon elements""; ""4.4. The linearity of the action""; ""4.5. Integrals, ribbon elements, and the double""; ""4.6. The modular group and the double""; ""Chapter 5. The Semisimple Case""; ""5.1. The character ring""; ""5.2. The Verlinde matrix""; ""5.3. Matrix identities""; ""5.4. A comparison""; ""5.5. The exponent"" ""5.6. Radford�s example""""Chapter 6. The Case of the Drinfel�d Double""; ""6.1. The role of the evaluation form""; ""6.2. The new maps""; ""6.3. The first relation""; ""6.4. The second approach to the action of the modular group""; ""6.5. Matrix representations of the new maps""; ""Chapter 7. Induced Modules""; ""7.1. Induction""; ""7.2. Induction and duality""; ""7.3. The relation with the center construction""; ""7.4. The relation of the coherence properties""; ""7.5. Adjoint functors""; ""7.6. More coherence properties""; ""Chapter 8. Equivariant Frobenius-Schur Indicators"" ""8.1. Equivariant Frobenius-Schur indicators""""8.2. Indicators and duality""; ""8.3. The equivariance theorem""; ""8.4. The orbit theorem""; ""Chapter 9. Two Congruence Subgroup Theorems""; ""9.1. The action on the character ring""; ""9.2. Induction and multiplicities""; ""9.3. The congruence subgroup theorem for the Drinfel�d double""; ""9.4. The projective congruence subgroup theorem""; ""Chapter 10. The Action of the Galois Group""; ""10.1. The Galois group and the character ring""; ""10.2. The semilinear actions""; ""10.3. The action on the center"" ""10.4. Representations of the Drinfel�d double""""10.5. The equivariance of the isomorphism""; ""Chapter 11. Galois Groups and Indicators""; ""11.1. A digression on Frobenius algebras""; ""11.2. The invariance of the induced trivial module""; ""11.3. The action and the indicators""; ""11.4. Diagonal matrices""; ""11.5. The Galois group and the modular group""; ""Chapter 12. Galois Groups and Congruence Subgroups""; ""12.1. The Hopf symbol""; ""12.2. Properties of the Hopf symbol""; ""12.3. The Hopf symbol and the Jacobi symbol""; ""12.4. The linear congruence subgroup theorem""; ""Notes"" ""Bibliography"" |
| Record Nr. | UNINA-9910827428103321 |
|
Sommerhäuser Yorck <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-Archimedean L-functions and arithmetical Siegel modular forms / / Michel Courtieu, Alexei Panchishkin
| Non-Archimedean L-functions and arithmetical Siegel modular forms / / Michel Courtieu, Alexei Panchishkin |
| Autore | Courtieu Michel <1973-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2003] |
| Descrizione fisica | 1 online resource (VIII, 204 p.) |
| Disciplina | 512.73 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
L-functions
Siegel domains Modular groups |
| ISBN | 3-540-45178-1 |
| Classificazione |
11R54
11F41 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Non-Archimedean analytic functions, measures and distributions -- Siegel modular forms and the holomorphic projection operator -- Arithmetical differential operators on nearly holomorphic Siegel modular forms -- Admissible measures for standard L-functions and nearly holomorphic Siegel modular forms. |
| Record Nr. | UNISA-996466655903316 |
|
Courtieu Michel <1973->
|
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| Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2003] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Non-Archimedean L-functions and arithmetical Siegel modular forms / Michel Courtieu, Alexei Panchishkin
| Non-Archimedean L-functions and arithmetical Siegel modular forms / Michel Courtieu, Alexei Panchishkin |
| Autore | Courtieu, Michel |
| Edizione | [2nd augmented ed.] |
| Pubbl/distr/stampa | Berlin : Springer, c2004 |
| Descrizione fisica | viii, 193 p. : ill. ; 24 cm |
| Disciplina | 512.73 |
| Altri autori (Persone) | Panchishkin, Alexei Alexevich |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1471 |
| Soggetto topico |
L-functions
Siegel domains Modular groups Discontinuous groups Automorphic forms Algebraic number theory |
| ISBN | 3540407294 |
| Classificazione |
AMS 11F85
AMS 11R AMS 11S LC QA3.L28 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000932119707536 |
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Courtieu, Michel
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| Berlin : Springer, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
On central critical values of the degree four L-functions for GSp(4) . III : the fundamental lemma / / Masaaki Furusawa, Kimball Martin, Joseph A. Shalika
| On central critical values of the degree four L-functions for GSp(4) . III : the fundamental lemma / / Masaaki Furusawa, Kimball Martin, Joseph A. Shalika |
| Autore | Furusawa Masaaki |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 512.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Siegel domains
Modular groups Automorphic forms L-functions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1057-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""Notation""; ""1.1. Orbital Integrals""; ""1.2. Matching""; ""Chapter 2. Reduction Formulas""; ""2.1. Macdonald Polynomials""; ""2.2. Explicit Formulas and the Macdonald Polynomials""; ""2.3. Reduction Formulas for the Orbital Integrals""; ""Chapter 3. Anisotropic Bessel Orbital Integral""; ""3.1. Preliminaries""; ""3.2. Evaluation""; ""Chapter 4. Split Bessel and Novodvorsky Orbital Integrals""; ""4.1. Preliminaries""; ""4.2. Evaluation""; ""4.3. Matching""; ""Chapter 5. Rankin-Selberg Orbital Integral""; ""5.1. Preliminaries""
""5.2. Matching in the Inert Case""""5.3. Matching in the Split Case""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910480947403321 |
|
Furusawa Masaaki
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On central critical values of the degree four L-functions for GSp(4) . III : the fundamental lemma / / Masaaki Furusawa, Kimball Martin, Joseph A. Shalika
| On central critical values of the degree four L-functions for GSp(4) . III : the fundamental lemma / / Masaaki Furusawa, Kimball Martin, Joseph A. Shalika |
| Autore | Furusawa Masaaki |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 512.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Siegel domains
Modular groups Automorphic forms L-functions |
| ISBN | 1-4704-1057-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""Notation""; ""1.1. Orbital Integrals""; ""1.2. Matching""; ""Chapter 2. Reduction Formulas""; ""2.1. Macdonald Polynomials""; ""2.2. Explicit Formulas and the Macdonald Polynomials""; ""2.3. Reduction Formulas for the Orbital Integrals""; ""Chapter 3. Anisotropic Bessel Orbital Integral""; ""3.1. Preliminaries""; ""3.2. Evaluation""; ""Chapter 4. Split Bessel and Novodvorsky Orbital Integrals""; ""4.1. Preliminaries""; ""4.2. Evaluation""; ""4.3. Matching""; ""Chapter 5. Rankin-Selberg Orbital Integral""; ""5.1. Preliminaries""
""5.2. Matching in the Inert Case""""5.3. Matching in the Split Case""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910796035303321 |
|
Furusawa Masaaki
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On central critical values of the degree four L-functions for GSp(4) . III : the fundamental lemma / / Masaaki Furusawa, Kimball Martin, Joseph A. Shalika
| On central critical values of the degree four L-functions for GSp(4) . III : the fundamental lemma / / Masaaki Furusawa, Kimball Martin, Joseph A. Shalika |
| Autore | Furusawa Masaaki |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (150 p.) |
| Disciplina | 512.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Siegel domains
Modular groups Automorphic forms L-functions |
| ISBN | 1-4704-1057-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""Notation""; ""1.1. Orbital Integrals""; ""1.2. Matching""; ""Chapter 2. Reduction Formulas""; ""2.1. Macdonald Polynomials""; ""2.2. Explicit Formulas and the Macdonald Polynomials""; ""2.3. Reduction Formulas for the Orbital Integrals""; ""Chapter 3. Anisotropic Bessel Orbital Integral""; ""3.1. Preliminaries""; ""3.2. Evaluation""; ""Chapter 4. Split Bessel and Novodvorsky Orbital Integrals""; ""4.1. Preliminaries""; ""4.2. Evaluation""; ""4.3. Matching""; ""Chapter 5. Rankin-Selberg Orbital Integral""; ""5.1. Preliminaries""
""5.2. Matching in the Inert Case""""5.3. Matching in the Split Case""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910812534803321 |
|
Furusawa Masaaki
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On central critical values of the degree four L-functions for GSp(4) : the fundamental lemma / / Masaaki Furusawa, Joseph A. Shalika
| On central critical values of the degree four L-functions for GSp(4) : the fundamental lemma / / Masaaki Furusawa, Joseph A. Shalika |
| Autore | Furusawa Masaaki |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (158 p.) |
| Disciplina |
510 s
512/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Siegel domains
Modular groups Automorphic forms |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0380-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Chapter 4. Evaluation of the Novodvorsky Orbital Integral""""4.1. Double coset decomposition""; ""4.2. Relevant double cosets""; ""4.3. Evaluation of the Novodvorsky orbital integral""; ""Chapter 5. Evaluation of the Bessel Orbital Integral""; ""5.1. Relevant double cosets""; ""5.2. Evaluation of the Bessel orbital integral""; ""Chapter 6. Evaluation of the Quadratic Orbital Integral""; ""6.1. Double coset decomposition""; ""6.2. Relevant double cosets""; ""6.3. Evaluation of the quadratic orbital integral""; ""Bibliography"" |
| Record Nr. | UNINA-9910480941603321 |
|
Furusawa Masaaki
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Modular groups
(19)
- Siegel domains (14)
- Automorphic forms (7)
- L-functions (5)
- Cusp forms (Mathematics) (3)