New PDF release: Arithmetic Differential Operators over the p-adic Integers

By Claire C. Ralph,Santiago R. Simanca

ISBN-10: 110767414X

ISBN-13: 9781107674141

The learn of mathematics differential operators is a unique and promising sector of arithmetic. this entire creation to the topic starts off 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 thought of mathematics jet areas is then constructed succinctly so that it will outline mathematics operators commonly. beneficial properties of the e-book contain a comparability of the behaviour of those operators over the p-adic integers and their behaviour over the unramified of entirety, and a dialogue of the connection among attribute features of p-adic discs and mathematics differential operators that disappears once a unmarried root of team spirit is adjoined to the p-adic integers. This booklet is key interpreting for researchers and graduate scholars who desire a first advent 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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