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P-adic Analytic Functions
Language: en
Pages: 349
Authors: Alain Escassut
Categories: Mathematics
Type: BOOK - Published: 2021-03-17 - Publisher: World Scientific

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P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric fi
A Course in p-adic Analysis
Language: en
Pages: 451
Authors: Alain M. Robert
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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Discovered at the turn of the 20th century, p-adic numbers are frequently used by mathematicians and physicists. This text is a self-contained presentation of b
Introduction to $p$-adic Analytic Number Theory
Language: en
Pages: 162
Authors: M. Ram Murty
Categories: Mathematics
Type: BOOK - Published: 2009-02-09 - Publisher: American Mathematical Soc.

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This book is an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises included, it will acquaint the non-expe
Integration of One-forms on P-adic Analytic Spaces. (AM-162)
Language: en
Pages: 164
Authors: Vladimir G. Berkovich
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: Princeton University Press

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Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. For example, a closed p-adic an
P-adic Analysis and Mathematical Physics
Language: en
Pages: 350
Authors: Vasili? Sergeevich Vladimirov
Categories: Science
Type: BOOK - Published: 1994 - Publisher: World Scientific

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p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great de