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OverviewThis book is an introductory presentation to the theory of local zeta functions. Viewed as distributions, and mostly in the archimedean case, local zeta functions are also called complex powers. The volume contains major results on analytic and algebraic properties of complex powers by Atiyah, Bernstein, I. M. Gelfand, S. I. Gelfand, and Sato. Chapters devoted to $p$-adic local zeta functions present Serre's structure theorem, a rationality theorem, and many examples found by the author. The presentation concludes with theorems by Denef and Meuser. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA. Full Product DetailsAuthor: Jun-ichi IgusaPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: UK ed. Volume: No. 14 Weight: 0.443kg ISBN: 9780821829073ISBN 10: 0821829076 Pages: 232 Publication Date: 30 April 2007 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsPreliminaries Implicit function theorems and $K$-analytic manifolds Hironaka's desingularization theorem Bernstein's theory Archimedean local zeta functions Prehomogeneous vector spaces Totally disconnected spaces and $p$-adic manifolds Local zeta functions ($p$-adic case) Some homogeneous polynomials Computation of $Z(s)$ Theorems of Denef and Meuser Bibliography Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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