Last edited by Nelrajas
Tuesday, July 14, 2020 | History

2 edition of P-ADIC NUMBERS AND THEIR FUNCTIONS found in the catalog.

MAHLER

# P-ADIC NUMBERS AND THEIR FUNCTIONS

## by MAHLER

Published .
Written in English

ID Numbers
Open LibraryOL21723002M

Pris: kr. Häftad, Tillfälligt slut. Bevaka Introduction to p-adic Analytic Number Theory så får du ett mejl när boken går att köpa igen. The p-adic numbers were introduced by K. Hensel in in his book Theorie der algebraïschen Zahlen, Leipzig, In this article we present a package that does p-adic calculations using Mathematica. It allows addition, subtraction, multiplication, and division of p-adic numbers written in Hensel expansion. Functions, such as sqrt, log, exp, sin, cos, sinh, and cosh, are defined using.

It seems that the higher dimensional study of p-adic functions is not equally developed as the one dimensional the best of our knowledge, the only works in this direction are those of Anashin in [An94, An02, An-Kh_Book].For this reason we have developed the required higher dimensional machinery for adapt the proof of [Yu-Kh_JNT]*Thm This machinery includes the description of . Chapter 3. Some elementary p-adic analysis. Chapter 4. The topology of Qp. Chapter 5. p-adic algebraic. P-Adic Numbers has 8 ratings and 1 review. Ben said: I really love the way Gouvea writes about math. There are two things I love in particular:1) He is. To my eyes, the most glaring omission was a book by Fernando Gouvêa, originally.

Get Textbooks on Google Play. Rent and save from the world's largest eBookstore. Read, highlight, and take notes, across web, tablet, and phone. Description: An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in as p-adic analogues of the classical L-functions of Dirichlet. Professor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of.

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P-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual.

Introduction to P-Adic Numbers and their Functions (Cambridge Tracts in Mathematics) Kurt Mahler. Hardcover. 6 offers from \$ p-adic Numbers: An Introduction (Universitext) Fernando Q. Gouvêa. Paperback. \$ p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics (58)) (v.

58) Neal Koblitz. out of 5 Cited by:   Buy Introduction to P-Adic Numbers and their Functions (Cambridge Tracts in Mathematics) on FREE SHIPPING on qualified orders Introduction to P-Adic Numbers and their Functions (Cambridge Tracts in Mathematics): Mahler, Kurt, Hansen, Henry: : BooksCited by: ISBN: OCLC Number: Notes: Second ed.

published in under title: p-adic numbers and their functions. Description. p-adic Numbers, p-adic Analysis, and Zeta-Functions by Neal Koblitz,available at Book Depository with free delivery worldwide/5(6). The p-adic numbers from the rational numbers.

We play a similar game to construct the p-adic numbers except that we choose a new notion of closeness. (When we speak about p-adic numbers, p is some specific number, usually a prime, and the digits of the number are 0,p). We give a brief and elementary introduction to p-adic numbers and p-adic functions.

Some of the topics are: non-archimedean valuations and the ultrametric topol-ogy, completions of Q, the Hasse. Such equations are said to satisfy the Hasse principle. Infinite Series and p -adic Analysis. Monthly, Cambridge University Press, An Introduction, 2nd ed.

Verein 6, Algebraic Numbers and Functions. P-adic Numbers and Their Functions, 2nd ed. A New Kind of Science.

p-adic Numbers, p-adic Analysis, and Zeta-Functions Neal Koblitz He spent the year and the spring semester in Moscow, where he did research in p -adic analysis and also translated Yu. Manin's "Course in Mathematical Logic" (GTM 53). The p-adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to.

ISBN: OCLC Number: Notes: First published in under title: "Introduction to p-adic numbers and their functions". Introduction to P-Adic Numbers and their Functions (Cambridge Tracts in Mathematics) by Mahler, Kurt and a great selection of related books, art and collectibles available now at   p-adic Numbers: An Introduction – Fernando Gouvea – Google Books.

P-adic Numbers and Their Functions, 2nd ed. This is a common argument that is used in solving these types of equations: Seventh International Conference on P-Adic In conclusion, I recommend this book to the set of people interested in p-adic numbers, and its complement.

p-adic numbers I. Basic concepts 2. Metrics on the rational numbers Exercises 3. Review of building up the complex numbers 4. The field of p-adic numbers 5. Arithmetic in QP Exercises Chapter II p-adic interpolation of the Riemann zeta-function I.

A formula for ~(2k) 2. p-adic interpolation of the functionf(s) = a• Exercises 3. p-adic. p-adic Numbers, p-adic Analysis, and Zeta-Functions, Neal Koblitz (, ISBN ) This is a short book. If you wish, you can only read the first chapter with 20 pages.

This book is a result of the MASS course "Real and p-adic analysis" Koblitz, p-adic Numbers, p-adic Analysis and Zeta-Functions, Springer-Verlag, Berlin, Heidelberg, New York, Graduate Texts in Mathematics, K.

Mahler, p-adic Numbers and Their Functions, Cambridge University Press, Bibliography P-Adic Numbers, P-Adic Analysis, and Zeta-Functions by Neal Koblitz starting at \$ P-Adic Numbers, P-Adic Analysis, and Zeta-Functions has 1 available editions to buy at.

An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in as p-adic analogues of the classical L-functions of sor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them.

Next he defines generalized Bernoulli numbers and discusses some of their fundamental. The concept of a p adic number is something that I haven't quite been able to grasp. Heretofore, I can comprehend the fact that the p adic number system essentially extends the conventional arithmetic.

x, p. ; 23 cm First published in under title: Introduction to p-adic numbers and their functions Includes bibliographical references (p. There are numbers of all kinds: rational, real, complex, p-adic.

The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. This elementary introduction offers a broad understanding of p-adic numbers.This section is an informal introduction to p-adic numbers, using examples from the ring of adic (decadic) numbers.

Although for p-adic numbers p should be a prime, base 10 was chosen to highlight the analogy with decimals. The decadic numbers are generally not used in mathematics: since 10 is not prime, the decadics are not a field.Introduction. This section is an informal introduction to p-adic numbers, using examples from the ring of adic (decadic) gh for p-adic numbers p should be a prime, base 10 was chosen to highlight the analogy with decimals.

The decadic numbers are generally not used in mathematics: since 10 is not prime or prime power, the decadics are not a field.