{"product_id":"p-adic-analysis-a-short-course-on-recent-work-9780521280600","title":"P-Adic Analysis: A Short Course on Recent Work","description":"\u003cp\u003e • Author(s): Neal Koblitz | J. W. S. Cassels | N. J. Hitchin\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":47615381045399,"sku":"9780521280600","price":6369.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780521280600.webp?v=1775100413","url":"https:\/\/atlanticbooks.com\/products\/p-adic-analysis-a-short-course-on-recent-work-9780521280600","provider":"Atlantic Books","version":"1.0","type":"link"}