P Adic Differential Equations

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p-adic Differential Equations
Language: en
Pages: 399
Authors: Kiran S. Kedlaya
Categories: Mathematics
Type: BOOK - Published: 2010-06-10 - Publisher: Cambridge University Press

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Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to
p-adic Differential Equations
Language: en
Pages: 518
Authors: Kiran S. Kedlaya
Categories: Mathematics
Type: BOOK - Published: 2022-06-09 - Publisher: Cambridge University Press

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Now in its second edition, this volume provides a uniquely detailed study of $P$-adic differential equations. Assuming only a graduate-level background in numbe
Lectures on p-adic Differential Equations
Language: en
Pages: 318
Authors: Bernard Dwork
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)
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
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