{"product_id":"lectures-on-p-adic-l-functions","title":"Lectures on P-Adic L-Functions","description":"An 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. Professor 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.","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":54251498373464,"sku":"9780691081120","price":72.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780691081120.jpg?v=1781064042","url":"https:\/\/agendabookshop.com\/products\/lectures-on-p-adic-l-functions","provider":"Agenda Bookshop","version":"1.0","type":"link"}