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Automorphic forms and zeta functions [[electronic resource] ] : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / / editors, Siegried Böcherer ... [et al.]
| Automorphic forms and zeta functions [[electronic resource] ] : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / / editors, Siegried Böcherer ... [et al.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (400 p.) |
| Disciplina | 512.73 |
| Altri autori (Persone) | BöchererSiegfried |
| Soggetto topico |
Automorphic forms
Functions, Zeta |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
1. AUTOMORPHIC FORMS. 2. FUNCTIONS, ZETA
Science |
| ISBN |
1-281-91946-2
9786611919467 981-277-441-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS ; Preface ; Tsuneo Arakawa and His Works ; 1 Tsuneo Arakawa (1949 - 2003) ; 2 Arakawa's works on Siegel and Jacobi modular forms ; 3 Arakawa's works on Selberg zeta functions ; 4 Arakawa's works on special values of zeta and L- functions
List of Publications of Tsuneo Arakawa Estimate of the Dimensions of Hilbert Modular Forms by Means of Differential Operators ; 1 Definitions and notations ; 2 Estimate of the dimension ; 3 A differential operator of Rankin-Cohen-Ibukiyama type ; 4 Remark ; References Marsden-Weinstein Reduction Orbits and Representations of the Jacobi Group 1 Some General Remarks on the Orbit Method and Marsden-Weinstein Reduction ; 2 Discrete Series Representations of SL(2 R) and the Jacobi Group ; 3 Coadjoint Orbits of SL(2 R) and GJ 4 Marsden-Weinstein Reduction and Symplectic Volumes 5 Appendix: Explicit Expressions of Symplectic Forms for Elliptic Coadjoint Obits of GJ ; References ; On Eisenstein Series of Degree Two for Squarefree Levels and the Genus Version of the Basis Problem I ; 1 Introduction 2 Preliminaries 3 Cusps and Eisenstein series for rno(N) ; 4 Coset decompositions for r2o(N) ; 5 Unfolding I ; 6 Double cosets for r0(N) ; 7 Unfolding II ; 8 The basis problem for squarefree level ; References ; Double Zeta Values and Modular Forms 1 Introduction and main results |
| Record Nr. | UNINA-9910458605903321 |
| New Jersey, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms and zeta functions [[electronic resource] ] : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / / editors, Siegried Böcherer ... [et al.]
| Automorphic forms and zeta functions [[electronic resource] ] : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / / editors, Siegried Böcherer ... [et al.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (400 p.) |
| Disciplina | 512.73 |
| Altri autori (Persone) | BöchererSiegfried |
| Soggetto topico |
Automorphic forms
Functions, Zeta |
| Soggetto non controllato |
1. AUTOMORPHIC FORMS. 2. FUNCTIONS, ZETA
Science |
| ISBN |
1-281-91946-2
9786611919467 981-277-441-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS ; Preface ; Tsuneo Arakawa and His Works ; 1 Tsuneo Arakawa (1949 - 2003) ; 2 Arakawa's works on Siegel and Jacobi modular forms ; 3 Arakawa's works on Selberg zeta functions ; 4 Arakawa's works on special values of zeta and L- functions
List of Publications of Tsuneo Arakawa Estimate of the Dimensions of Hilbert Modular Forms by Means of Differential Operators ; 1 Definitions and notations ; 2 Estimate of the dimension ; 3 A differential operator of Rankin-Cohen-Ibukiyama type ; 4 Remark ; References Marsden-Weinstein Reduction Orbits and Representations of the Jacobi Group 1 Some General Remarks on the Orbit Method and Marsden-Weinstein Reduction ; 2 Discrete Series Representations of SL(2 R) and the Jacobi Group ; 3 Coadjoint Orbits of SL(2 R) and GJ 4 Marsden-Weinstein Reduction and Symplectic Volumes 5 Appendix: Explicit Expressions of Symplectic Forms for Elliptic Coadjoint Obits of GJ ; References ; On Eisenstein Series of Degree Two for Squarefree Levels and the Genus Version of the Basis Problem I ; 1 Introduction 2 Preliminaries 3 Cusps and Eisenstein series for rno(N) ; 4 Coset decompositions for r2o(N) ; 5 Unfolding I ; 6 Double cosets for r0(N) ; 7 Unfolding II ; 8 The basis problem for squarefree level ; References ; Double Zeta Values and Modular Forms 1 Introduction and main results |
| Record Nr. | UNINA-9910784752703321 |
| New Jersey, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms and zeta functions [[electronic resource] ] : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / / editors, Siegried Böcherer ... [et al.]
| Automorphic forms and zeta functions [[electronic resource] ] : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / / editors, Siegried Böcherer ... [et al.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (400 p.) |
| Disciplina | 512.73 |
| Altri autori (Persone) | BöchererSiegfried |
| Soggetto topico |
Automorphic forms
Functions, Zeta |
| Soggetto non controllato |
1. AUTOMORPHIC FORMS. 2. FUNCTIONS, ZETA
Science |
| ISBN |
1-281-91946-2
9786611919467 981-277-441-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS ; Preface ; Tsuneo Arakawa and His Works ; 1 Tsuneo Arakawa (1949 - 2003) ; 2 Arakawa's works on Siegel and Jacobi modular forms ; 3 Arakawa's works on Selberg zeta functions ; 4 Arakawa's works on special values of zeta and L- functions
List of Publications of Tsuneo Arakawa Estimate of the Dimensions of Hilbert Modular Forms by Means of Differential Operators ; 1 Definitions and notations ; 2 Estimate of the dimension ; 3 A differential operator of Rankin-Cohen-Ibukiyama type ; 4 Remark ; References Marsden-Weinstein Reduction Orbits and Representations of the Jacobi Group 1 Some General Remarks on the Orbit Method and Marsden-Weinstein Reduction ; 2 Discrete Series Representations of SL(2 R) and the Jacobi Group ; 3 Coadjoint Orbits of SL(2 R) and GJ 4 Marsden-Weinstein Reduction and Symplectic Volumes 5 Appendix: Explicit Expressions of Symplectic Forms for Elliptic Coadjoint Obits of GJ ; References ; On Eisenstein Series of Degree Two for Squarefree Levels and the Genus Version of the Basis Problem I ; 1 Introduction 2 Preliminaries 3 Cusps and Eisenstein series for rno(N) ; 4 Coset decompositions for r2o(N) ; 5 Unfolding I ; 6 Double cosets for r0(N) ; 7 Unfolding II ; 8 The basis problem for squarefree level ; References ; Double Zeta Values and Modular Forms 1 Introduction and main results |
| Record Nr. | UNINA-9910823675003321 |
| New Jersey, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms on Adele groups / Stephen S. Gelbart
| Automorphic forms on Adele groups / Stephen S. Gelbart |
| Autore | Gelbart, Stephen S. |
| Pubbl/distr/stampa | Princeton, N. J. : Princeton Univ. Press, 1975 |
| Descrizione fisica | x, 267 p. ; 24 cm. |
| Disciplina | 512.22 |
| Collana | Annals of mathematics studies ; 83 |
| Soggetto topico |
Adeles
Automorphic forms Linear algebraic groups Representations of groups |
| ISBN | 0691081565 |
| Classificazione |
AMS 20G05
AMS 22E55 QA171.G39 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000708939707536 |
Gelbart, Stephen S.
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| Princeton, N. J. : Princeton Univ. Press, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
| Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Automorphic forms Linear algebraic groups Adeles |
| Soggetto non controllato |
Abelian extension
Abelian group Absolute value Addition Additive group Algebraic group Algebraic number field Algebraic number theory Analytic continuation Analytic function Arbitrarily large Automorphic form Cartan subgroup Class field theory Complex space Congruence subgroup Conjugacy class Coprime integers Cusp form Differential equation Dimension (vector space) Direct integral Direct sum Division algebra Eigenfunction Eigenvalues and eigenvectors Eisenstein series Euler product Existential quantification Exponential function Factorization Finite field Formal power series Fourier series Fourier transform Fuchsian group Function (mathematics) Function space Functional equation Fundamental unit (number theory) Galois extension Global field Group algebra Group representation Haar measure Harish-Chandra Hecke L-function Hilbert space Homomorphism Induced representation Infinite product Inner automorphism Integer Invariant measure Invariant subspace Irreducible representation L-function Lie algebra Linear map Matrix coefficient Mellin transform Meromorphic function Modular form P-adic number Poisson summation formula Prime ideal Prime number Principal series representation Projective representation Quadratic field Quadratic form Quaternion algebra Quaternion Real number Regular representation Representation theory Ring (mathematics) Ring of integers Scientific notation Selberg trace formula Simple algebra Square-integrable function Sub"ient Subgroup Summation Theorem Theory Theta function Topological group Topology Trace formula Trivial representation Uniqueness theorem Unitary operator Unitary representation Universal enveloping algebra Upper half-plane Variable (mathematics) Vector space Weil group |
| ISBN | 1-4008-8161-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154753203321 |
|
Gelbart Stephen S.
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||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms on GL (2) / / Hervé Jacquet and R. P. Langlands
| Automorphic forms on GL (2) / / Hervé Jacquet and R. P. Langlands |
| Autore | Jacquet Hervé <1939-> |
| Edizione | [1st ed. 1970.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1970 |
| Descrizione fisica | 1 online resource (X, 554 p.) |
| Disciplina | 515.9 |
| Collana | Lecture notes in mathematics |
| Soggetto topico | Automorphic forms |
| ISBN | 3-540-36234-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Local Theory -- Global Theory -- Quaternion Algebras. |
| Record Nr. | UNISA-996466652103316 |
|
Jacquet Hervé <1939->
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| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1970 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Automorphic forms on GL (2) / H. Jacquet, R. P. Langlands
| Automorphic forms on GL (2) / H. Jacquet, R. P. Langlands |
| Autore | Jacquet, Herve |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1970-72 - 2 pt. ; 25 cm |
| Disciplina | 512.7 |
| Altri autori (Persone) | Langlands, Robert P. |
| Collana |
Lecture notes in mathematics, 0075-8434 ; 114
Lecture notes in mathematics, 0075-8434 ; 278 |
| Soggetto topico |
Automorphic forms
Dirichlet series Group theory Representations of groups |
| ISBN | 3540059318 (Pt.2) |
| Classificazione | AMS 11F12 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000708969707536 |
|
Jacquet, Herve
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| Berlin : Springer-Verlag, 1970-72 - 2 pt. ; 25 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Automorphic forms on GL (3,IR) / Daniel Bump
| Automorphic forms on GL (3,IR) / Daniel Bump |
| Autore | Bump, Daniel |
| Pubbl/distr/stampa | Berlin ; Heidelberg ; New York : Springer-Verlag, 1984 |
| Descrizione fisica | viii, 184 p. ; 24 cm. |
| Disciplina | 512.7 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1083 |
| Soggetto topico | Automorphic forms |
| ISBN | 3540138641 |
| Classificazione | AMS 11F12 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991000709029707536 |
|
Bump, Daniel
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| Berlin ; Heidelberg ; New York : Springer-Verlag, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Automorphic forms on GL (3,TR) / / Daniel Bump
| Automorphic forms on GL (3,TR) / / Daniel Bump |
| Autore | Bump Daniel <1952-> |
| Edizione | [1st ed. 1984.] |
| Pubbl/distr/stampa | Berlin ; ; London : , : Springer-Verlag, , [1984] |
| Descrizione fisica | 1 online resource (XI, 190 p.) |
| Disciplina | 515.9 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Automorphic forms
Lie groups |
| ISBN | 3-540-39055-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Automorphic forms on GL(2) -- The differential equations satisfied by Whittaker functions -- Jacquet's Whittaker functions -- Fourier expansions of automorphic forms -- Invariants of G?\G -- Ramanujan sums on GL(3) -- Eisenstein series -- The analytic continuation and functional equations satisfied by the L-series associated with an automorphic form -- Hecke operators and L-series -- The Mellin transforms of the Whittaker functions. |
| Record Nr. | UNISA-996466582103316 |
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Bump Daniel <1952->
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| Berlin ; ; London : , : Springer-Verlag, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
| Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski |
| Autore | Rogawski Jonathan David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (273 pages) |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Unitary groups
Trace formulas Representations of groups Automorphic forms |
| Soggetto non controllato |
Abelian group
Abuse of notation Addition Admissible representation Algebraic closure Algebraic group Algebraic number field Asymptotic expansion Automorphism Base change map Base change Bijection Borel subgroup Cartan subgroup Class function (algebra) Coefficient Combination Compact group Complementary series representation Complex number Congruence subgroup Conjugacy class Continuous function Corollary Countable set Diagram (category theory) Differential operator Dimension (vector space) Dimension Discrete spectrum Division algebra Division by zero Eigenvalues and eigenvectors Embedding Equation Existential quantification Finite set Fourier transform Fundamental lemma (Langlands program) G factor (psychometrics) Galois group Global field Haar measure Hecke algebra Homomorphism Hyperbolic set Index notation Irreducible representation Isomorphism class L-function Langlands classification Linear combination Local field Mathematical induction Maximal compact subgroup Maximal torus Morphism Multiplicative group Neighbourhood (mathematics) Orbital integral Oscillator representation P-adic number Parity (mathematics) Principal series representation Quaternion algebra Quaternion Reductive group Regular element Remainder Representation theory Ring of integers Scientific notation Semisimple algebra Set (mathematics) Shimura variety Simple algebra Smoothness Special case Stable distribution Subgroup Summation Support (mathematics) Tate conjecture Tensor product Theorem Trace formula Triangular matrix Unitary group Variable (mathematics) Weight function Weil group |
| ISBN | 1-4008-8244-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index |
| Record Nr. | UNINA-9910154747203321 |
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Rogawski Jonathan David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Automorphic forms
(127)
- Representations of groups (33)
- L-functions (22)
- Discontinuous groups (16)
- Automorphic functions (12)