P-adic numbers, p-adic analysis, and zeta-functions / Neal Koblitz

Auteur principal : Koblitz, Neal, 1948-, AuteurType de document : MonographieCollection : Graduate texts in mathematics, 58Langue : anglais.Pays: Etats Unis.Mention d'édition: 2nd EditionÉditeur : New York : Springer, 1984Description : 1 vol. (XII-150 p.) : ill. ; 25 cmISBN: 9780387960173.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 129-131. Index.Sujet MSC : 11S80, Algebraic number theory: local and p-adic fields, Other analytic theory
11S40, Algebraic number theory: local and p-adic fields, Zeta functions and L-functions
11Sxx, Number theory - Algebraic number theory: local and p-adic fields
11M06, Number theory - Zeta and L-functions: analytic theory, ζ(s) and L(s,χ)
12J25, Field theory and polynomials - Topological fields, Non-Archimedean valued fields
En-ligne : Springerlink Item type: Monographie
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From the preface to the second edition: "The most important revisions in this edition are: (1) enlargement of the treatment of p-adic functions in Chapter IV to include the Iwasawa logarithm and the p-adic gamma function, (2) rearrangement and addition of some exercises, (3) inclusion of an extensive appendix of answers and hints to the exercises, the absence of which from the first edition was apparently a source of considerable frustration for many readers, and (4) numerous corrections and clarifications, most of which were proposed by readers who took the trouble to write me. Some clarifications in Chapters IV and V were also suggested by V. V. Shokurov , the translator of the Russian edition.''

Bibliogr. p. 129-131. Index

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