Read e-book online Arithmetic Differential Operators over the p-adic Integers PDF

By Claire C. Ralph,Santiago R. Simanca

ISBN-10: 110767414X

ISBN-13: 9781107674141

The examine of mathematics differential operators is a singular 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 built succinctly with a purpose to outline mathematics operators commonly. positive factors of the e-book comprise a comparability of the behaviour of those operators over the p-adic integers and their behaviour over the unramified final touch, 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 key studying for researchers and graduate scholars who need 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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