LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Ser. 46) - Softcover

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9780521280600: LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Ser. 46)
Softcover
ISBN 10: 0521280605 ISBN 13: 9780521280600
Verlag: Cambridge University Press, 2008

Inhaltsangabe

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.

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Verlag
Cambridge University Press
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0521280605
ISBN 13 
9780521280600
Einband
Taschenbuch
Anzahl der Seiten
168
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Avery
https://www.avery.fr/

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