{"product_id":"9783030015107","title":"On the Class Number of Abelian Number Fields: Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi","description":"\u003ch1\u003eOn the Class Number of Abelian Number Fields: Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi\u003c\/h1\u003e \u003ch2\u003eHasse, Helmut; Hirabayashi, Mikihito\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eWith this translation, the classic monograph \u003ci\u003eÜber die Klassenzahl abelscher Zahlkörper\u003c\/i\u003e by Helmut Hasse is now available in English for the first time.\u003c\/p\u003e\u003cp\u003eThe book addresses three main topics: class number formulas for abelian number fields; expressions of the class number of real abelian number fields by the index of the subgroup generated by cyclotomic units; and the Hasse unit index of imaginary abelian number fields, the integrality of the relative class number formula, and the class number parity. \u003c\/p\u003e\u003cp\u003eAdditionally, the book includes reprints of works by Ken-ichi Yoshino and Mikihito Hirabayashi, which extend the tables of Hasse unit indices and the relative class numbers to imaginary abelian number fields with conductor up to 100.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe text provides systematic and practical methods for deriving class number formulas, determining the unit index and calculating the class number of abelian number fields. A wealth of illustrative examples, together with corrections and remarks on the original work, make this translation a valuable resource for today’s students of and researchers in number theory.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2019-05-08\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783030015107\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-030-01512-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 365\u003c\/p\u003e ","brand":"Akademie-Verlag, Berlin","offers":[{"title":"Default Title","offer_id":46547990904972,"sku":"9783030015107","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783030015107.jpg?v=1776028939","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783030015107","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}