Get Arithmetic Differential Operators over the p-adic Integers PDF

By Claire C. Ralph,Santiago R. Simanca

The research of mathematics differential operators is a unique and promising zone of arithmetic. this entire advent 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 built succinctly so that it will outline mathematics operators often. positive aspects of the publication comprise a comparability of the behaviour of those operators over the p-adic integers and their behaviour over the unramified crowning glory, 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 e-book is vital examining for researchers and graduate scholars who need 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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