p-adic analysis a short course on recent work Neal Koblitz. Lecture note series 46.

Koblitz, Neal:

ISBN 10: 0521280605 / ISBN 13: 9780521280600

Published by Cambridge, Cambridge University Press, 1980

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 12 KOB 9780521280600 Sprache: Englisch Gewicht in Gramm: 250.

Seller Inventory # 2507578

Bibliographic Details

• Title: p-adic analysis a short course on recent work Neal Koblitz. Lecture note series 46.
• Publisher: Cambridge, Cambridge University Press
• Publication Date: 1980
• Language: English
• ISBN 10: 0521280605
• ISBN 13: 9780521280600
• Binding: Softcover
• Weight: 250 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.

Book Description

An introduction to recent work in the theory of numbers and its interrelation with algebraic geometry and analysis.