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Absolute CM-periods / Hiroyuki Yoshida
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
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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  
Berlin : , : Springer-Verlag, , 1987
Materiale a stampa
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Archimedean Zeta Integrals for CL(3) x GL(2) / / Miki Hirano, Taku Ishii, Tadashi Miyazaki
Archimedean Zeta Integrals for CL(3) x GL(2) / / Miki Hirano, Taku Ishii, Tadashi Miyazaki
Autore Hirano Miki
Edizione [1st ed.]
Pubbl/distr/stampa Providence : , : American Mathematical Society, , 2022
Descrizione fisica 1 online resource (136 pages)
Disciplina 515/.55
515.55
Altri autori (Persone) IshiiTaku
MiyazakiTadashi
Collana Memoirs of the American Mathematical Society
Soggetto topico Coulomb functions
Riemann integral
Functions, Zeta
Automorphic forms
Number theory -- Discontinuous groups and automorphic forms -- Representation-theoretic methods; automorphic representations over local and global fields
Number theory -- Discontinuous groups and automorphic forms -- Fourier coefficients of automorphic forms
Topological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations
ISBN 9781470471668
1470471663
Classificazione 11F7011F3022E46
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Title page -- Introduction -- Acknowledgments -- Part 1. Whittaker functions -- Chapter 1. Basic objects -- 1.1. Notation -- 1.2. Groups and algebras -- 1.3. Whittaker functions -- 1.4. Capelli elements -- 1.5. The gamma function and the Bessel functions -- 1.6. Special functions of two variables -- Chapter 2. Preliminaries for ( ,\bR) -- 2.1. Generalized principal series representations -- 2.2. The elements of \g_{\bC} and (\g_{\bC}) -- 2.3. The eigenvalues of generators of (\g_{\bC}) -- Chapter 3. Whittaker functions on (2,\bR) -- 3.1. Representations of (2) -- 3.2. Principal series representations -- 3.3. Principal series Whittaker functions -- 3.4. Essentially discrete series Whittaker functions -- Chapter 4. Whittaker functions on (3,\bR) -- 4.1. Representations of (3) -- 4.2. Principal series representations -- 4.3. Principal series Whittaker functions at scalar -types -- 4.4. Principal series Whittaker functions at 3 dimensional -types -- 4.5. Generalized principal series representations -- 4.6. Generalized principal series Whittaker functions -- Chapter 5. Preliminaries for ( ,\bC) -- 5.1. Principal series representations -- 5.2. The elements of \g_{\bC} and (\g_{\bC}) -- 5.3. The eigenvalues of generators of (\g_{\bC}) -- Chapter 6. Whittaker functions on (2,\bC) -- 6.1. Representations of (2) -- 6.2. Principal series representations -- 6.3. Principal series Whittaker functions -- Chapter 7. Whittaker functions on (3,\bC) -- 7.1. Representations of (3) -- 7.2. Principal series representations -- 7.3. Principal series Whittaker functions -- Part 2. Archimedean zeta integrals for (3)× (2) -- Chapter 8. Preliminaries -- 8.1. The aim of Part 2 -- 8.2. Some formulas for the calculation -- Chapter 9. The local zeta integrals for (3,\bR)× (2,\bR) -- 9.1. The local Langlands correspondence for ( ,\bR).
9.2. Preparations for (2)-modules -- 9.3. Whittaker functions on (2,\bR) -- 9.4. Whittaker functions on (3,\bR) -- 9.5. The local zeta integrals for (3,\bR)× (2,\bR) -- 9.6. The calculation for '= _{( ₁', ₂')}⊠ _{( ₂', ₂')} -- 9.7. The calculation for '= _{( ₁',1)}⊠ _{( ₂',0)} -- 9.8. The calculation for '= _{( ', ')} -- Chapter 10. The local zeta integrals for (3,\bC)× (2,\bC) -- 10.1. The local Langlands correspondence for ( ,\bC) -- 10.2. Preparations for (2)-modules -- 10.3. Whittaker functions on (2,\bC) -- 10.4. Whittaker functions on (3,\bC) -- 10.5. The local zeta integrals for (3,\bC)× (2,\bC) -- 10.6. The calculation in the case ₂> -- - ₂' -- 10.7. The calculation in the case - ₁'> -- ₂ -- 10.8. The calculation in the case - ₂'≥ ₂≥- ₁' -- Appendix A. Archimedean zeta integrals for (2)× ( ) ( =1,2) -- A.1. The local zeta integrals for (2,\bR)× (1,\bR) -- A.2. The local zeta integrals for (2,\bR)× (2,\bR) -- A.3. The local zeta integrals for (2,\bC)× (1,\bC) -- A.4. The local zeta integrals for (2,\bC)× (2,\bC) -- Bibliography -- Back Cover.
Record Nr. UNINA-9910965481803321
Hirano Miki  
Providence : , : American Mathematical Society, , 2022
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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
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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 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
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The basis problem for modular forms on [Gamma]o(N) / / Hiroaki Hijikata, Arnold K. Pizer and Thomas R. Shemanske
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
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The basis problem for modular forms on [Gamma]o(N) / / Hiroaki Hijikata, Arnold K. Pizer and Thomas R. Shemanske
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
Opac: Controlla la disponibilità qui
The basis problem for modular forms on [Gamma]o(N) / / Hiroaki Hijikata, Arnold K. Pizer and Thomas R. Shemanske
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
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Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn
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
Opac: Controlla la disponibilità qui
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn
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
Opac: Controlla la disponibilità qui