| Les Conjectures de Stark Sur Les Fonctions L d'Artin En S=0: Notes d'Un Cours a Orsay Redigees Par Dominique Bernardi 1984 Edition Contributor(s): Tate, J. (Author) |
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ISBN: 0817631887 ISBN-13: 9780817631888 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Hardcover Language: French Published: January 1984 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Science - Mathematics | Group Theory |
| Dewey: 512.73 |
| LCCN: 84007029 |
| Series: Progress in Mathematics |
| Physical Information: 0.44" H x 6.14" W x 9.21" (0.88 lbs) 148 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |