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P Adic Numbers P Adic Analysis Zeta 2ND Editionby Neal Koblitz
Synopses & ReviewsPublisher Comments:Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 75 and the spring semester 1978 in Moscow, where he did research in p adic analysis and also translated Yu. I. Manin's "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and padic analysis, and he is the author of "padic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (SpringerVerlag).
Synopsis:This work has become the standard introduction to the theory of padic numbers. The 2nd edition adds a deeper treatment of padic functions, including the Iwasawa logarithm and the padic gammafunction, plus new exercises and an appendix of answers and hints.
Synopsis:The first edition of this work has become the standard introduction to the theory of padic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of padic functions in Ch. 4 to include the Iwasawa logarithm and the padic gammafunction, 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.
Table of Contents1: padic numbers. 2: padic interpolation of the Riemann zeta function. 3: Building up _. 4: padic power series. 5: Rationality of the zetafunction of a set of equations over a finite field.
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