Arithmetic differential operators over the p-adic integers

✍ Scribed by Claire C Ralph; S R Simanca

Publisher: Cambridge University Press
Year: 2012
Tongue: English
Leaves: 148
Series: London Mathematical Society lecture note series, 396
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Content: 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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