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1. |
Record Nr. |
UNINA9910450123003321 |
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Autore |
Itò„ Masami <1941-> |
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Titolo |
Algebraic theory of automata and languages [[electronic resource] /] / Masami Ito |
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Pubbl/distr/stampa |
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River Edge, N.J., : World Scientific, 2004 |
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ISBN |
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1-281-87255-5 |
9786611872557 |
981-256-268-0 |
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Descrizione fisica |
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1 online resource (210 p.) |
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Disciplina |
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Soggetti |
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Formal languages |
Machine theory |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Algebraic Theory of Automata and Languages; Preface; Contents; 0 Introduction; 1 Group-Matrix Type Automata; 2 General Automata; 3 Classes of Automata as Posets; 4 Languages and Operations; 5 Shuffle Closed Languages; 6 Insertions and Deletions; 7 Shuffles and Scattered Deletions; 8 Directable Automata; Bibliography; Index |
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Sommario/riassunto |
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Although there are some books dealing with algebraic theory ofautomata, their contents consist mainly of Krohn-Rhodes theory andrelated topics. The topics in the present book are ratherdifferent. For example, automorphism groups of automata and thepartially ordered sets of automata are systematicallydiscussed. Moreover, some operations on languages and special classesof regular languages associated with deterministic andnondeterministic directable automata are dealt with. The book isself-contained and hence does not require any knowledge of automataand formal languages. |
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2. |
Record Nr. |
UNINA9910790961403321 |
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Autore |
Yuan Xinyi <1981-> |
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Titolo |
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
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Pubbl/distr/stampa |
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Princeton, : Princeton University Press, 2012, c2013 |
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ISBN |
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9786613883919 |
1-4008-4564-5 |
1-283-57146-3 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (267 p.) |
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Collana |
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Annals of mathematics studies ; ; no. 184 |
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Altri autori (Persone) |
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ZhangShouwu |
ZhangWei <1981-> |
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Disciplina |
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Soggetti |
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Shimura varieties |
Arithmetical algebraic geometry |
Automorphic forms |
Quaternions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index |
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Sommario/riassunto |
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This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoherent automorphic representations with rational coefficients attached naturally to abelian varieties parametrized by Shimura curves. This is followed by a complete proof of its coherent analogue: the |
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