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

By Claire C. Ralph,Santiago R. Simanca

The learn of mathematics differential operators is a unique and promising sector of arithmetic. this whole 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 concept of mathematics jet areas is then constructed succinctly with a purpose to outline mathematics operators generally. beneficial properties of the e-book comprise a comparability of the behaviour of those operators over the p-adic integers and their behaviour over the unramified finishing touch, 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 ebook is vital studying 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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