Last edited by Kigacage
Thursday, July 30, 2020 | History

7 edition of P-adic numbers, p-adic analysis, and zeta-functions found in the catalog.

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

by Neal Koblitz

  • 145 Want to read
  • 20 Currently reading

Published by Springer-Verlag in New York .
Written in English

    Subjects:
  • p-adic numbers.,
  • p-adic analysis.,
  • Functions, Zeta.

  • Edition Notes

    StatementNeal Koblitz.
    SeriesGraduate texts in mathematics ;, 58
    Classifications
    LC ClassificationsQA241 .K674 1984
    The Physical Object
    Paginationxii, 150 p. :
    Number of Pages150
    ID Numbers
    Open LibraryOL2843533M
    ISBN 100387960171
    LC Control Number84005503

    zeta functions and p-adic analysis at Kyoto University. These notes are essentially the lecture notes for that course. The first term, I presented several "classical" results on zeta functions in characteristic p Weil's calculation of the zeta. function of . View Koblitz - p-adic Numbers, p-adic Analysis, and from MATH at University of California, Berkeley. Graduate Texts in Mathematics S. Axler Springer Science+Business.

      Schikhof gives constructions of p-adic Gamma and Zeta functions and develops enough integration theory to allow the reader to follow the measure-theoretic approach to p-adic L-functions. He even does a little bit with p-adic differential equations. Though the book is labelled "an introduction," the pre-requisites are quite heavy. P-ADIC NUMBERS AND SOLVING P-ADIC EQUATIONS AXEL G. R. TURNQUIST Abstract. This paper provides a review of C. C. MacDu ee’s article titled The p-adic Numbers of Hensel from and H. S. Thurston’s article titled The Solution of p-adic Equationsfrom published in the American Mathe-matical Size: KB.

      p-adic Numbers, p-adic Analysis, and Zeta-Functions. Because of Covid precautions, we are currently limiting book orders to one item per order to ensure that our warehouse team can work ed on: J   Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems/5(10).


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P-adic numbers, p-adic analysis, and zeta-functions by Neal Koblitz Download PDF EPUB FB2

P-adic Numbers, p-adic Analysis, and Zeta-Functions. Authors: Koblitz, Neal Free Preview. Buy this book eB58 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, p-adic analysis p-adic analysis, and he is the P-adic numbers of "p-adic Analysis: A Short Course on Recent Work" (Cambridge Brand: Springer-Verlag New York.

Buy p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics (58)) (v. 58) on FREE SHIPPING on qualified ordersCited by: Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D.

in mathematics at Princeton in 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). P-Adic Numbers, P-Adic Analysis, and Zeta-Functions book. Read reviews from world’s largest community for readers. Neal Koblitz was a student of Nicholas /5. p-adic numbers --p-adic interpolation of the Riemann zeta-function --Building up [omega] --p-adic power series --Rationality of the zeta-function of a set of equations over a finite field.

Series Title. p-adic Numbers, p-adic Analysis, and Zeta-Functions by Neal Koblitz,available at Book Depository with free delivery worldwide/5(6). p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics) (Graduate Texts in Mathematics (58)) $ Available to ship in days.

The Amazon Book Review Author interviews, book reviews, editors' picks, and more. Read it now. Enter your mobile number or email address below and we'll send you a link to download the 4/5(1).

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 Kubota-Leopoldtp-adic zeta-function, which "p-adically interpolates" the values of the Riemann zeta-function at the negative odd integers.

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). These lecture notes are intended as an introduction to p-adic analysis on the elementary level. For this reason they presuppose as little background as possi­ ble. p-adic Numbers, p-adic Analysis, and Zeta-Functions.

Authors: Koblitz, Neal Show next edition Free Preview. Buy this book eB40 € price for Spain (gross) Buy eBook ISBN Author: Neal Koblitz. In mathematics, 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 the real and complex number systems.

The extension is achieved by an alternative interpretation of the concept of "closeness" or absolute particular, two p-adic numbers are considered. Get this from a library. P-adic Numbers, p-adic Analysis, and Zeta-Functions.

[Neal Koblitz] -- These lecture notes are intended as an introduction to p-adic analysis on the elementary level. For this reason they presuppose as little background as possi ble.

introduction to p adic analytic number theory Download introduction to p adic analytic number theory or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get introduction to p adic analytic number theory book now.

This site is like a library, Use search box in the widget to get ebook that you want. According to the idea of Tate's thesis, the Riemann zeta function $\zeta(s)$ should be thought of as a distribution on the idèles $\text{GL}_1(\mathbf A_\mathbf Q)$ of $\mathbf Q$.

Integrating this distribution against the complex characters of $\text{GL}_1(\mathbf A_\mathbf Q)$ gives the values of the zeta function. p-adic Numbers, p-adic Analysis, and Zeta-Functions / Edition 2 available in Hardcover, Paperback. Add to Wishlist. ISBN ISBN Pub. Date: 10/04/ Publisher: Springer New York.

p-adic Numbers, p-adic Analysis, and Zeta-Functions / Edition 2. by Neal And with the exercises, the book would make a good Price: $ p-adic Numbers, p-adic Analysis, and Zeta-Functions: Koblitz, Neal: Books - 5/5(2). Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials.

Lazard's problem for analytic functions inside a disk is explained. P-adic meromorphics are studied. Sets of range uniqueness in a p-adic field are examined. The ultrametric Corona problem is studied. There is an excellent book by Neal Koblitz "p-adic numbers, p-adic analysis and zeta-functions" were the Dwork's proof is stated in a very detailed way, including all preliminaries from p-adic analysis.

Let me sketch this proof in comparison with Weil's program of proving his conjecture. p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book to deal with applications of p-adic numbers.

In the second edition of this text, Koblitz presents a wide-ranging introduction to the theory of p-adic numbers and the first chapter he explains the details of building the p-adic rationals from the ordinary rational the second, he delves into the p-adic version of the zeta the third, he gives the algebraic closure of the p-adic rationals.

[39] p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics) (v. 58) p-adic Numbers, p-adic Analysis, Neal Koblitz epub p-adic Numbers, p-adic Analysis, Neal Koblitz pdf download p-adic Numbers, p-adic Analysis, Neal Koblitz pdf file p-adic Numbers, p-adic Analysis, Neal Koblitz audiobook p-adic Numbers, p-adic Analysis, Neal Koblitz book .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 .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 .