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OverviewThis 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. Full Product DetailsAuthor: J. TatePublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 1984 ed. Volume: 47 Dimensions: Width: 15.60cm , Height: 1.10cm , Length: 23.40cm Weight: 0.880kg ISBN: 9780817631888ISBN 10: 0817631887 Pages: 148 Publication Date: 01 January 1984 Audience: General/trade , General Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Language: French Table of ContentsIntroduction.-Fonctions L D'Artin.-La Conjecture Principale de Stark.-Caracteres a Valeurs Rationnelles.-Les Cas r(x)=0 et r(x)=1.-La Conjecture Plus Fine Dans le Cas Abelien.-Le Cas Des Corps de Fonctions.-Analogues p-Adiques des Conjectures de Stark.-Bibliographie.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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