{"product_id":"9780521280600","title":"P-adic Analysis : A Short Course on Recent Work (London Mathematical Society Lecture Note Series)","description":"\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":"Default Title","offer_id":49687941546232,"sku":"00000_00000_00000_00000","price":129.25,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/8208\/6904\/files\/9780521280600-1.jpg?v=1783598996","url":"https:\/\/kinokuniya.com.au\/products\/9780521280600","provider":"Books Kinokuniya Australia","version":"1.0","type":"link"}