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Arithmetic Differential Operators over the p-adic Integers

Claire C. Ralph and Santiago R. Simanca
Publisher: 
Cambridge University Press
Publication Date: 
2012
Number of Pages: 
139
Format: 
Paperback
Series: 
London Mathematical Society Lecture Note Series 396
Price: 
65.00
ISBN: 
9781107674141
Category: 
Monograph
We do not plan to review this book.

1. Introduction
2. The p-adic numbers Q_p
3. Some classical analysis on Q_p
4. Analytic functions on Z_p
5. Arithmetic differential operators on Z_p
6. A general view of arithmetic differential operators
7. Analyticity of arithmetic differential operators
8. Characteristic functions: standard p-adic coordinates
9. Characteristic functions: harmonic arithmetic coordinates
10. Differences between arithmetic differential operators over Z_p and Z_p^{unr}
References.

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