P-adic numbers, p-adic analysis, and Zeta-functions - Couverture rigide

Koblitz, Neal

 
9783540960171: P-adic numbers, p-adic analysis, and Zeta-functions

Synopsis

This volume in the Graduate Texts in Mathematics series, looks at p-adic numbers and considers such topics as the Riemann zeta-function and the rationality of the zeta-function of a set of equations over a finite field.

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Présentation de l'éditeur

The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.

Revue de presse

In the second edition of this text, Koblitz presents a wide-ranging introduction to the theory of p-adic numbers and functions. ... there are some really nice exercises that allow the reader to explore the material. ... And with the exercises, the book would make a good textbook for a graduate course, provided the students have a decent background in analysis and number theory. --Donald L. Vestal, The Mathematical Association of America, April, 2011

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