{"product_id":"9783030015107","title":"On the Class Number of Abelian Number Fields","description":"\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\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2019\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer International Publishing\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: H\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 770\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Helmut Hasse","offers":[{"title":"Default Title","offer_id":41272416043186,"sku":"9783030015107","price":2434833.27,"currency_code":"IDR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/3030015106.01_SCLZZZZZZZ.jpg?v=1636123479","url":"https:\/\/readabook.store\/en-id\/products\/9783030015107","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}