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P-adic numbers, p-adic analysis and zeta-functions.

P-adic numbers, p-adic analysis and zeta-functions. The purpose of this book is twofold: to develop some basic ideas of p-adic analysis, and to present two striking applications which, it is hoped, can be as effective pedagogically as they were historically in stimulating interest in the field. The first of these applications is presented in Chapter II, since it only requires the most elementary properties of QP; this is Mazur's construction by means of p-adic integration of the c zeta-function, which ·'p -adically interpolates'' the values of the Riemann zeta-function at the negative odd integers.

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).

Start by marking p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in. .

Start by marking p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics) (v. 58) as Want to Read: Want to Read savin. ant to Read.

p-adic Numbers, p-adic Analysis, and Zeta-Functions. Authors: Koblitz, Neal. there are some really nice exercises that allow the reader to explore the material. Show all. Table of contents (5 chapters).

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of.

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book. p-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz (1984, 2nd e. ISBN 978-0-387-96017-3). Cyclotomic Fields, Serge Lang (1978

Fomenko of Moscow State University, Moscow, .

Author: Neal Koblitz. Matrix Analysis (Graduate Texts in Mathematics).

The purpose of this book is twofold: to develop some basic ideas of p-adic analysis, and to present two striking applications which, it is hoped, can be as effective pedagogically as they were historically in stimulating interest in the field

The purpose of this book is twofold: to develop some basic ideas of p-adic analysis, and to present two striking applications which, it is hoped, can be as effective pedagogically as they were historically in stimulating interest in the field. The first of these applications is presented in Chapter II, since it only requires the most elementary properties of Q ; this is Mazur's construction by p means of p-adic integration of the c zeta-function, which "p-adically interpolates" the values of the Riemann zeta-function at the negative odd integers.