Arithmetic differential operators over the p-adic integers
The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of ar...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2012
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| Series: | London Mathematical Society lecture note series
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| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- The p-adic numbers Qp
- Some classical analysis on Qp
- The Artin-Hasse exponential function
- The completion of the algebraic closure of Qp
- Zeta functions
- Analytic functions on Zp
- Arithmetic differential operators on Zp
- A general view of arithmetic differential operators
- Analyticity of arithmetic differential operators
- Characteristic functions of discs in Zp: p-adic coordinates
- Characteristic functions of discs in Zp: harmonic coordinates
- Some differences between (Se(B-operators over Zp and Zur p