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[null,"1.","Record Nr.",null,"UNINA9910784752703321"]
[null,null,"Titolo",null,"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.]"]
[null,null,"Pubbl/distr/stampa",null,"New Jersey, : World Scientific, c2006"]
[null,null,"ISBN",null,"1-281-91946-2"]
[{"$nulls":4},"9786611919467"]
[{"$nulls":4},"981-277-441-6"]
[null,null,"Descrizione fisica",null,"1 online resource (400 p.)"]
[null,null,"Disciplina",null,"512.73"]
[null,null,"Soggetti",null,"Automorphic forms"]
[{"$nulls":4},"Functions, Zeta"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"CONTENTS               ; Preface              ; Tsuneo Arakawa and His Works                                   ; 1 Tsuneo Arakawa (1949 - 2003)                                     ; 2 Arakawa's works on Siegel and Jacobi modular forms                                                           ; 3 Arakawa's works on Selberg zeta functions                                                  ; 4 Arakawa's works on special values of zeta and L- functions"]
[{"$nulls":4},"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"]
[{"$nulls":4},"Marsden-Weinstein Reduction Orbits and Representations of the Jacobi Group                                                                                 1 Some General Remarks on the Orbit Method and Marsden-Weinstein Reduction                                                                                 ; 2 Discrete Series Representations of SL(2 R) and the Jacobi Group                                                                        ; 3 Coadjoint Orbits of SL(2 R) and GJ"]
[{"$nulls":4},"4 Marsden-Weinstein Reduction and Symplectic Volumes                                                           5 Appendix: Explicit Expressions of Symplectic Forms for Elliptic Coadjoint Obits of GJ                                                                                              "]
[{"$nulls":4},"; References                 ; On Eisenstein Series of Degree Two for Squarefree Levels and the Genus Version of the Basis Problem I                                                                                                            ; 1 Introduction"]
[{"$nulls":4},"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"]
[{"$nulls":4},"1 Introduction and main results"]
[null,null,null,"Sommario/riassunto","This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works, followed by 16 articles by experts in the fields including H Aoki, R Berndt, K Hashimoto, S Hayashida, Y Hironaka, H Katsurada, W Kohnen, A Krieg, A Murase, H Narita, T Oda, B Roberts, R Schmidt, R Schulze-Pillot, N Skoruppa, T Sugano, and D Zagier. A variety of topics in the theory of modular forms and zeta functions are c"]
[null,"2.","Record Nr.",null,"UNINA9910255006703321"]
[null,null,"Autore",null,"Soare Robert I"]
[null,null,"Titolo",null,"Turing Computability : Theory and Applications / / by Robert I. Soare"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2016"]
[null,null,"ISBN",null,"3-642-31933-5"]
[null,null,"Edizione",null,"[1st ed. 2016.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XXXVI, 263 p. 4 illus.)"]
[null,null,"Collana",null,"Theory and Applications of Computability, In cooperation with the association Computability in Europe, , 2190-619X"]
[null,null,"Disciplina",null,"511.352"]
[null,null,"Soggetti",null,"Computers"]
[{"$nulls":4},"Computer science—Mathematics"]
[{"$nulls":4},"Logic, Symbolic and mathematical"]
[{"$nulls":4},"Theory of Computation"]
[{"$nulls":4},"Mathematics of Computing"]
[{"$nulls":4},"Mathematical Logic and Foundations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Part I Foundations of Computability -- Chap. 1 Defining Computability -- Chap. 2 Computably Enumerable Sets -- Chap. 3 Turing Reducibility -- Chap. 4 The Arithmetical Hierarchy -- Chap. 5 Classifying C.E. Sets -- Chap. 6 Oracle Constructions and Forcing -- Chap. 7 The Finite Injury Method -- Part II Trees and Π01 Classes -- Chap. 8 Open and Closed Classes -- Chap. 9 Basis Theorems -- Chap. 10 Peano Arithmetic and Π01-Classes -- Chap. 11 Randomness and Π01-Classes -- Part III Minimal Degrees -- Chap. 12 Minimal Degrees Below Øʹʹ -- Chap. 13 Minimal Degrees Below Øʹ -- Part IV Games in Computability Theory -- Chap. 14 Banach-Mazur Games -- Chap. 15 Gale-Stewart Games -- Chap. 16 More Lachlan Games -- Part V History of Computability -- Chap. 17 History of Computability -- References -- Index."]
[null,null,null,"Sommario/riassunto","Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. "]
[{"$nulls":4},"The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject. Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part II includes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory. The author is a leading authority on the topic and he has taught the subject using the book content over decades, honing it according to experience and feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured according to importance and difficulty. The book is suitable for advanced undergraduate and graduate students in computer science and mathematics and researchers engaged with computability and mathematical logic."]