Arithmetic Differential Operators over the p-adic Integers
NZD$105.95 inc GST
Part of London Mathematical Society Lecture Note Series
- Authors:
- Claire C. Ralph, Cornell University, New York
- Santiago R. Simanca, Université de Nantes, France
- Date Published: January 2012
- availability: Available
- format: Paperback
- isbn: 9781107674141
NZD$
105.95
inc GST
Paperback
Other available formats:
eBook
Looking for an inspection copy?
Please email [email protected] to enquire about an inspection copy of this book
-
The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers.
Read more- The first introductory book on the subject
- Accessible to those with a grasp of algebraic number theory
- Allows those without a strong training in commutative algebra and algebraic geometry to achieve a deep understanding of the subject
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: January 2012
- format: Paperback
- isbn: 9781107674141
- length: 146 pages
- dimensions: 228 x 152 x 8 mm
- weight: 0.24kg
- availability: Available
Table of Contents
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.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×