LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.7
Title	On the Class Number of Abelian Number Fields ([EBook]) : Extended with Tables by Ken-ichi Yoshino and Mikihito Hirabayashi / by Helmut Hasse.
Author	Hasse, Helmut. , 1898-1979
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2019.
Publication	Cham : Springer International Publishing , 2019.
Physical Details	XXXVIII, 365 pages. 33 illus. : online resource.
ISBN	9783030015121
Summary Note	With this translation, the classic monograph Über die Klassenzahl abelscher Zahlkörper 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.:
Contents note	Part I -- Introduction -- The Generalized Class Number Formulas -- The Arithmetic Structure of the Class Number Formula for Real Fields -- The Arithmetic Structure of the Relative Class Number Formula for Imaginary Fields -- Appendix: Tables of Relative Class Numbers - Part II -- On the Relative Class Number of the Imaginary Abelian Number Field I -- On the Relative Class Number of the Imaginary Abelian Number Field II -- Supplemental Readings.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-01512-1
Links to Related Works	Subject References: Abelian groups . Algebra . Field Theory and Polynomials . Field theory (Physics) . Number Theory . Authors: author . Hasse, Helmut. 1898-1979 . Corporate Authors: SpringerLink (Online service) . Classification: 512.7 .

Catalogue Display

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

Reviews