{"product_id":"p-adic-analysis-neal-koblitz-9780521280600","title":"P-Adic Analysis: A Short Course on Recent Work","description":"This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Neal Koblitz\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521280605\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521280600\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/28\/1980\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 168\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.59lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.06h x 6.10w x 0.43d","brand":"Neal Koblitz","offers":[{"title":"Paperback","offer_id":44119796252927,"sku":"9780521280600","price":58.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_50be7b46-388e-4e42-b860-1ddd08423f25.jpg?v=1687410977","url":"https:\/\/www.whiterainbookhouse.com\/products\/p-adic-analysis-neal-koblitz-9780521280600","provider":"WR Book House","version":"1.0","type":"link"}