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Arithmetic Differential Operators over the p-adic Integers / Claire C. Ralph, Santiago R. Simanca.

Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; no. 396.Publication details: Cambridge : Cambridge University Press, 2012.Description: 1 online resource (146 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781139084666
  • 1139084666
  • 9781107674141
  • 110767414X
  • 9781107096219
  • 1107096219
  • 9781107089945
  • 1107089948
  • 1299707351
  • 9781299707351
  • 9781107101821
  • 1107101824
Subject(s): Additional physical formats: Print version:: No titleDDC classification:
  • 512.74
LOC classification:
  • QA241 .R25 2012
Other classification:
  • MAT 123f
  • SI 320
  • SK 540
  • SK 620
Online resources:
Contents:
Cover; Series Page; Title; Copyright; Contents; 1 Introduction; 2 The p-adic numbers Qp; 2.1 A pragmatic realization of Qp; 2.2 The p-adic integers Zp and their field of fractions; 2.3 The topology of Qp; 2.4 Analytic and algebraic properties of Qp; 2.5 (p − 1)-roots of unity in Qp; 3 Some classical analysis on Qp; 3.1 The Artin-Hasse exponential function; 3.2 The completion of the algebraic closure of Qp; 3.3 Zeta functions; 4 Analytic functions on Zp; 4.1 Strassmann's theorem; 5 Arithmetic differential operators on Zp; 5.1 Multiple primes I.
9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index.
Summary: A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Title from publishers bibliographic system (viewed 15 Feb 2012).

A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.

880-01 Cover; Series Page; Title; Copyright; Contents; 1 Introduction; 2 The p-adic numbers Qp; 2.1 A pragmatic realization of Qp; 2.2 The p-adic integers Zp and their field of fractions; 2.3 The topology of Qp; 2.4 Analytic and algebraic properties of Qp; 2.5 (p − 1)-roots of unity in Qp; 3 Some classical analysis on Qp; 3.1 The Artin-Hasse exponential function; 3.2 The completion of the algebraic closure of Qp; 3.3 Zeta functions; 4 Analytic functions on Zp; 4.1 Strassmann's theorem; 5 Arithmetic differential operators on Zp; 5.1 Multiple primes I.

9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index.

Includes bibliographical references (pages 135-137) and index.

English.

Added to collection customer.56279.3

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