Arithmetic Differential Operators over the p-adic Integers - download pdf or read online

By Claire C. Ralph,Santiago R. Simanca

ISBN-10: 110767414X

ISBN-13: 9781107674141

The research of mathematics differential operators is a unique and promising region of arithmetic. this entire creation to the topic begins with the fundamentals: a dialogue of p-adic numbers and a few of the classical differential research at the box of p-adic numbers resulting in the definition of mathematics differential operators in this box. Buium's idea of mathematics jet areas is then constructed succinctly with the intention to outline mathematics operators as a rule. beneficial properties of the booklet comprise a comparability of the behaviour of those operators over the p-adic integers and their behaviour over the unramified of completion, and a dialogue of the connection among attribute capabilities of p-adic discs and mathematics differential operators that disappears once a unmarried root of solidarity is adjoined to the p-adic integers. This publication is vital interpreting for researchers and graduate scholars who need a first creation to mathematics differential operators over the p-adic integers.

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Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series) by Claire C. Ralph,Santiago R. Simanca

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