Values of zeta functions and class number 1 criterion for the simplest cubic fields

DOI10.1017/S0027763000007741zbMath0999.11067OpenAlexW1547160959MaRDI QIDQ2709971

Hyun Kwang Kim, Hyung-Ju Hwang

Publication date: 1 December 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000007741

zbMATH Keywords

Dedekind zeta functionsimplest cubic fields

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

Trace and norm of indecomposable integers in cubic orders ⋮ Unnamed Item ⋮ Evaluation of the Dedekind zeta functions of some non-normal totally real cubic fields at negative odd integers ⋮ Evaluation of the Dedekind zeta functions at \(s=-1\) of the simplest quartic fields ⋮ EVALUATION OF THE ZETA FUNCTIONS OF TOTALLY REAL NUMBER FIELDS AND ITS APPLICATION

Cites Work

• On the computation of the values of zeta functions of totally real cubic fields
• Special values of zeta functions of the simplest cubic fields and their applications

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