The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.
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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 field.Various properties of p-adic exponential-polynomials are examined, such as the Hermite-Lindemann...
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<p><b>A groundbreaking contribution to number theory that unifies classical and modern results</b><br><br>This book develops a new theory of <i>p</i>-adic modular forms on modular curves, extending Katz''s...
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This book systematically develops the theory of continuous representations on <i>p</i>-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive <i>p</i>-adic groups on <i>p</i>-adic...
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