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.
1: p-adic numbers. 2: p-adic interpolation of the Riemann zeta- function. 3: Building up _. 4: p-adic power series. 5: Rationality of the zeta-function of a set of equations over a finite field.
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