{"product_id":"lectures-on-p-adic-l-functions-kinkichi-iwasawa-9780691081120","title":"Lectures on p-ADIC L-Functions","description":"\u003cp\u003eAn especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the classical L-functions of Dirichlet. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003eProfessor Iwasawa reviews the classical results on Dirichlet's L-functions and sketches a proof for some of them. Next he defines generalized Bernoulli numbers and discusses some of their fundamental properties. Continuing, he defines p-adic L-functions, proves their existence and uniqueness, and treats p-adic logarithms and p-adic regulators. He proves a formula of Leopoldt for the values of p-adic L-functions at s=1. The formula was announced in 1964, but a proof has never before been published. Finally, he discusses some applications, especially the strong relationship with cyclotomic fields.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Kinkichi Iwasawa\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691081123\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691081120\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/21\/1972\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 112\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.38lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.76h x 6.01w x 0.30d","brand":"Kinkichi Iwasawa","offers":[{"title":"Paperback","offer_id":43925604958463,"sku":"9780691081120","price":66.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_75483320-5ec5-4e3a-8d60-5a1f317a6a76.jpg?v=1681078261","url":"https:\/\/www.whiterainbookhouse.com\/products\/lectures-on-p-adic-l-functions-kinkichi-iwasawa-9780691081120","provider":"WR Book House","version":"1.0","type":"link"}