{"product_id":"on-the-class-number-of-abelian-number-fields-von-helmut-hasse-ubersetzt-von-mikihito-hirabayashi","title":"On the Class Number of Abelian Number Fields","description":"\n                                \n                \u003cp\u003e\n                                        With this translation, the classic monograph \n                    \n                    \u003ci\u003eÜber die Klassenzahl abelscher Zahlkörper\u003c\/i\u003e\n                                         by Helmut Hasse is now available in English for the first time.\n                \n                \u003c\/p\u003e\n                                \n                \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\n                                \n                \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\n                                \n                \u003cp\u003e \u003c\/p\u003e\n                                \n                \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\n                                \n                \u003cp\u003e\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030015107\"\u003e\u003ch3\u003eExtended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783030015107","offer_id":47109651726661,"sku":"9783030015107","price":128.39,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/01070429-bf9c-4168-a356-6a32ea93bc55.jpg?v=1772169773","url":"https:\/\/shop.autorenwelt.de\/en\/products\/on-the-class-number-of-abelian-number-fields-von-helmut-hasse-ubersetzt-von-mikihito-hirabayashi","provider":"Autorenwelt Shop","version":"1.0","type":"link"}