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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.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Ralph, Claire C., Simanca, S. R. (Santiago R.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:London Mathematical Society lecture note series ; no. 396.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.
  • 9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index.