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

• Main Author: Hasse, Helmut (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Number theory.; Algebra.; Field theory (Physics).; Number Theory.; Field Theory and Polynomials.

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 field...

Table of Contents:

• 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.