On the Class Number of Abelian Number Fields - Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi (Hardcover, 1st ed. 2019)

With this translation, the classic monograph UEber die Klassenzahl abelscher Zahlkoerper by Helmut Hasse is now available in English for the first time. The 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. Additionally, 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. The 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Release date:	May 2019
First published:	2019
Authors:	Helmut Hasse
Translators:	Mikihito Hirabayashi
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	365
Edition:	1st ed. 2019
ISBN-13:	978-3-03-001510-7
Languages:	English
Subtitles:	German
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	3-03-001510-6
Barcode:	9783030015107

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