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Les Conjectures de Stark sur les Fonctions L d'Artin en s=0: Notes d'un cours a Orsay redigees par Dominique Bernardi: 47 (Progress in Mathematics, 47) - Hardcover
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This book presents a self-contained introduction to H.M. Stark's remarkable conjectures about the leading term of the Taylor expansion of Artin's L-functions at s=0. These conjectures can be viewed as a vast generalization of Dirichlet's class number formula and Kronecker's limit formula. They provide an unexpected contribution to Hilbert's 12th problem on the generalization of class fields by the values of transcendental functions. This volume belongs on the shelf of every mathematics library.
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This book presents a self-contained introduction to H.M. Stark’s remarkable conjectures about the leading term of the Taylor expansion of Artin’s L-functions at s=0. These conjectures can be viewed as a vast generalization of Dirichlet’s class number formula and Kronecker’s limit formula. They provide an unexpected contribution to Hilbert’s 12th problem on the generalization of class fields by the values of transcendental functions.
This volume also treats these topics: a proof of the main conjecture for rational characters, and Chinburg’s invariant; P. Delgne’s proof of a function field analogue; p-adic versions of the conjectures due to B. Gross and J.-P. Serre.
This volume belongs on the shelf of every mathematics library.
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- PublisherBirkhäuser
- Publication date1984
- ISBN 10 0817631887
- ISBN 13 9780817631888
- BindingHardcover
- LanguageFrench
- Number of pages152
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Les Conjectures de Stark Sur Les Fonctions L d'Artin En S=0: Notes d'Un Cours a Orsay Redigees Par Dominique Bernardi
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Les Conjectures de Stark sur les Fonctions L d'Artin en s=0. Notes d'un cours a Orsay redigees par Dominique Bernardi. Progress in Mathematics 47
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Les Conjectures de Stark sur les Fonctions L d'Artin en s=0
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Les Conjectures de Stark sur les Fonctions L d'Artin en s=0
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Birkhäuser Boston Jan 1984, 1984
ISBN 10: 0817631887
ISBN 13: 9780817631888
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents a self-contained introduction to H.M. Stark's remarkable conjectures about the leading term of the Taylor expansion of Artin's L-functions at s=0. These conjectures can be viewed as a vast generalization of Dirichlet's class number formula and Kronecker's limit formula. They provide an unexpected contribution to Hilbert's 12th problem on the generalization of class fields by the values of transcendental functions. This volume belongs on the shelf of every mathematics library. 156 pp. Französisch. Seller Inventory # 9780817631888
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