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      Cover image for Lectures on p-adic Differential Equations
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      Lectures on p-adic Differential Equations

      Bernard Dwork

      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 -…

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      Cover image for Generalized Hypergeometric Functions
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      Generalized Hypergeometric Functions

      Bernard Dwork (Professor of Mathematics, Professor of Mathematics, Princeton University, New Jersey)

      Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph is concerned with the Boyarsky principle which expresses the analytic properties of a certain proto-gamma…

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      Cover image for P-Adic Analysis: Proceedings
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      P-Adic Analysis: Proceedings

      Dedicated to Philippe Robba, this conference was characterized by the discussion of numerous algebraic geometries. Other papers were devoted to exponential sums, a theme connecting p-adic analysis to number theory.

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      Cover image for An Introduction to G-functions
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      An Introduction to G-functions

      Bernard Dwork,Giovanni Gerotto,Francis J. Sullivan

      Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. Its main object…

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