Arithmetic Differential Operators over the p-adic Integers /
A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2012.
|
| Series: | London Mathematical Society lecture note series ;
no. 396. |
| Subjects: | |
| Online Access: | CONNECT |
MARC
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| 245 | 0 | 0 | |a Arithmetic Differential Operators over the p-adic Integers / |c Claire C. Ralph, Santiago R. Simanca. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource (146 pages) | ||
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| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 396 | |
| 500 | |a Title from publishers bibliographic system (viewed 15 Feb 2012). | ||
| 520 | |a A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers. | ||
| 505 | 0 | |6 880-01 |a 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. | |
| 505 | 8 | |a 9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index. | |
| 504 | |a Includes bibliographical references (pages 135-137) and index. | ||
| 546 | |a English. | ||
| 500 | |a EBSCO eBook Academic Comprehensive Collection North America |5 TMurS | ||
| 650 | 0 | |a Differential operators. | |
| 650 | 0 | |a Arithmetic functions. | |
| 650 | 0 | |a p-adic numbers. | |
| 700 | 1 | |a Ralph, Claire C. | |
| 700 | 1 | |a Simanca, S. R. |q (Santiago R.) | |
| 730 | 0 | |a WORLDSHARE SUB RECORDS | |
| 758 | |i has work: |a Arithmetic differential operators over the p-adic integers (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFxHgkMMVxJTKDKp4fQdDC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9781107674141 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v no. 396. | |
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| 880 | 8 | |6 505-01/(S |a 6 A general view of arithmetic differential operators6.1 Basic algebraic concepts; 6.2 General δp-functions: arithmetic jet spaces; 6.3 The analogue of a δp-linear operators for group schemes; 6.4 Multiple primes II; 7 Analyticity of arithmetic differential operators; 8 Characteristic functions of discs in Zp: p-adic coordinates; 8.1 Characteristic functions of discs of radii 1/p; 8.2 Characteristic functions of discs of radii 1/pn; 9 Characteristic functions of discs in Zp: harmonic arithmetic coordinates; 9.1 A matrix associated to pm. | |
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