Arithmetic Differential Operators Over the P-Adic Integers

Informationen zum Autor Claire C. Ralph is currently a Department of Energy Computational Science Graduate Fellow at Cornell University where she is pursuing her doctorate in theoretical chemistry. Her thesis research is in developing efficient, highly parallel algorithms for quantum mechanical computations. Klappentext A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers. Zusammenfassung This complete introduction to the study of arithmetic differential operators over the p-adic integers offers graduate students and researchers an accessible guide to this novel and promising area of mathematics. It starts with the basics and is accessible to anyone with a basic grasp of algebraic number theory. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Claire C Ralph, Claire C. Ralph, Claire C. (Cornell University Ralph, Claire C. Simanca Ralph, Santiago R Simanca, Santiago R. Simanca, Santiago R. (Universite de Nantes Simanca
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 26.01.2012
• EAN: 9781107674141
• ISBN: 978-1-107-67414-1
• Pagine: 146
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria