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) - Hardcover

Tate, John Torrence; Tate, J.

Hardcover

ISBN 10: 0817631887 ISBN 13: 9780817631888

Verlag: Birkhäuser, 1984

Inhaltsangabe

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 12^th 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 12^th 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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 1984
• ISBN 10: 0817631887
• ISBN 13: 9780817631888
• Einband: Tapa dura
• Sprache: Französisch
• Anzahl der Seiten: 156
• Kontakt zum Hersteller: Nicht verfügbar