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

By Claire C. Ralph,Santiago R. Simanca

The examine of mathematics differential operators is a unique and promising sector of arithmetic. this entire advent 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 thought of mathematics jet areas is then constructed succinctly which will outline mathematics operators normally. beneficial properties of the ebook contain 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 features of p-adic discs and mathematics differential operators that disappears once a unmarried root of harmony is adjoined to the p-adic integers. This booklet is vital interpreting for researchers and graduate scholars who desire 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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