Download e-book for iPad: Arithmetic Differential Operators over the p-adic Integers by Claire C. Ralph,Santiago R. Simanca

By Claire C. Ralph,Santiago R. Simanca

The examine of mathematics differential operators is a singular and promising zone 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 idea of mathematics jet areas is then constructed succinctly to be able to outline mathematics operators generally. beneficial properties of the booklet 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 services of p-adic discs and mathematics differential operators that disappears once a unmarried root of harmony is adjoined to the p-adic integers. This e-book is key analyzing 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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