Arithmetic Differential Operators over the p-adic Integers

ISBN: 9781107674141 出版年：2012 页码：148 Claire C Ralph Santiago R Simanca Cambridge University Press

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.