On the Class Number of Abelian Number Fields Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi free ebook download.

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On the Class Number of Abelian Number Fields Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi free ebook download

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Mathematics

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Author(s):	Helmut Hasse, Mikihito Hirabayashi

Date:	2019	Format:	pdf	Language:	English	ISBN/ASIN:	3030015106
Pages:	403	OCR:		Quality:		ISBN13:
Uploader:	rubybook	Upload Date:	8/27/2024 3:34:57 AM

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3030015106 pdf
With this translation, the classic monograph Uber die Klassenzahl abelscher Zahlkorper 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.

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Tags: Abelian Class Extended Fields Ken-ichi Mikihito Number Number Tables Yoshino

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