Absolute CM-periods / Hiroyuki Yoshida |
Autore | Yoshida, Hiroyuki |
Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2003 |
Descrizione fisica | x, 282 p. ; 27 cm |
Disciplina | 516.353 |
Collana | Mathematical surveys and monographs, 0076-5376 ; 106 |
Soggetto topico |
Abelian varieties
Automorphic forms Functions, Zeta |
ISBN | 0821834533 |
Classificazione |
AMS 11G15
LC QA564.Y67 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000473209707536 |
Yoshida, Hiroyuki | ||
Providence, R. I. : American Mathematical Society, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
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 | ||
Berlin : , : Springer-Verlag, , 1987 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
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.] |
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 : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / / editors, Siegried Bocherer ... [et al.] |
Edizione | [1st ed.] |
Pubbl/distr/stampa | New Jersey, : World Scientific, c2006 |
Descrizione fisica | 1 online resource (400 p.) |
Disciplina | 512.73 |
Altri autori (Persone) | BochererSiegfried |
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 |
Altri titoli varianti | Proceedings of the conference in memory of Tsuneo Arakawa |
Record Nr. | UNINA-9910823675003321 |
New Jersey, : World Scientific, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The basis problem for modular forms on [Gamma]o(N) / / Hiroaki Hijikata, Arnold K. Pizer and Thomas R. Shemanske |
Autore | Hijikata Hiroaki <1936-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (170 p.) |
Disciplina | 512/.73 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Forms, Modular
Quaternions Functions, Zeta |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0841-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Preliminaries""; ""2. The Trace Formula for Hecke Operators""; ""3. Twisting Newforms""; ""4. Theta Series""; ""5. A Representation-theoretic Definition of Brandt Matrices""; ""6. Trace Identities""; ""7. Cuspidal Theta Series and Newforms""; ""8. The Basis Problem""; ""9. Connections with Representation Theory""; ""10. Examples""; ""References"" |
Record Nr. | UNINA-9910480743603321 |
Hijikata Hiroaki <1936-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The basis problem for modular forms on [Gamma]o(N) / / Hiroaki Hijikata, Arnold K. Pizer and Thomas R. Shemanske |
Autore | Hijikata Hiroaki <1936-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (170 p.) |
Disciplina | 512/.73 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Forms, Modular
Quaternions Functions, Zeta |
ISBN | 1-4704-0841-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Preliminaries""; ""2. The Trace Formula for Hecke Operators""; ""3. Twisting Newforms""; ""4. Theta Series""; ""5. A Representation-theoretic Definition of Brandt Matrices""; ""6. Trace Identities""; ""7. Cuspidal Theta Series and Newforms""; ""8. The Basis Problem""; ""9. Connections with Representation Theory""; ""10. Examples""; ""References"" |
Record Nr. | UNINA-9910788872603321 |
Hijikata Hiroaki <1936-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The basis problem for modular forms on [Gamma]o(N) / / Hiroaki Hijikata, Arnold K. Pizer and Thomas R. Shemanske |
Autore | Hijikata Hiroaki <1936-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1989 |
Descrizione fisica | 1 online resource (170 p.) |
Disciplina | 512/.73 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Forms, Modular
Quaternions Functions, Zeta |
ISBN | 1-4704-0841-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""Introduction""; ""1. Preliminaries""; ""2. The Trace Formula for Hecke Operators""; ""3. Twisting Newforms""; ""4. Theta Series""; ""5. A Representation-theoretic Definition of Brandt Matrices""; ""6. Trace Identities""; ""7. Cuspidal Theta Series and Newforms""; ""8. The Basis Problem""; ""9. Connections with Representation Theory""; ""10. Examples""; ""References"" |
Record Nr. | UNINA-9910817123103321 |
Hijikata Hiroaki <1936-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
Autore | Felʹshtyn Alexander <1952-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
Descrizione fisica | 1 online resource (165 p.) |
Disciplina |
510 s
515/.56 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0290-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
Record Nr. | UNINA-9910480600203321 |
Felʹshtyn Alexander <1952-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
Autore | Felʹshtyn Alexander <1952-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
Descrizione fisica | 1 online resource (165 p.) |
Disciplina |
510 s
515/.56 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Fixed point theory Piecewise linear topology |
ISBN | 1-4704-0290-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy""
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" ""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative endomorphism""; ""2.3.4 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - second proof""; ""2.3.5 Connection of the Reidemeister zeta function with the Lefschetz zeta function of the dual map""; ""2.4 Endomorphisms of finite groups""; ""2.5 Endomorphisms of the direct sum of a free Abelian and a finite group""; ""2.6 Endomorphisms of nilpotent groups"" ""2.6.1 Functional equation""""2.7 The Reidemeister zeta function and group extensions""; ""2.8 The Reidemeister zeta function of a continuous map""; ""2.8.1 The Reidemeister zeta function of a continuous map and Serre bundles""; ""3 The Nielsen zeta function""; ""3.1 Radius of Convergence of the Nielsen zeta function""; ""3.1.1 Topological entropy""; ""3.1.2 Algebraic lower estimation for the Radius of Convergence""; ""3.2 Nielsen zeta function of a periodic map""; ""3.3 Orientation-preserving homeomorphisms of a compact surface"" ""3.3.1 Geometry of the Mapping Torus and Radius of Convergence""""3.4 The Jiang subgroup and the Nielsen zeta function""; ""3.5 Polyhedra with finite fundamental group""; ""3.6 Nielsen zeta function in other special cases""; ""3.6.1 Pseudo-Anosov homeomorphism of a compact surface""; ""3.7 The Nielsen zeta function and Serre bundles""; ""3.8 Examples""; ""4 Reidemeister and Nielsen zeta functions modulo normal subgroup, minimal dynamical zeta functions""; ""4.1 Reidemeister and Nielsen zeta functions modulo a normal subgroup"" ""4.1.1 Radius of Convergence of the mod K Nielsen zeta function"" |
Record Nr. | UNINA-9910788841403321 |
Felʹshtyn Alexander <1952-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|