Parity of class numbers and witt equivalence of quartic fields

Stanislav Jakubec, František Marko, Kazimierz Szymiczek

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We show that 27 out of the 29 Witt equivalence classes of quartic number fields can be represented by fields of class number 1. It is known that the remaining two classes contain solely fields of even class numbers. We show that these two classes can be represented by fields of class number 2.

Original languageEnglish (US)
Pages (from-to)1711-1715
Number of pages5
JournalMathematics of Computation
Volume64
Issue number212
DOIs
StatePublished - Jan 1 1995

Fingerprint

Equivalence classes
Class number
Quartic
Parity
Equivalence
Even number
Equivalence class
Number field
Class

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Cite this

Jakubec, Stanislav ; Marko, František ; Szymiczek, Kazimierz. / Parity of class numbers and witt equivalence of quartic fields. In: Mathematics of Computation. 1995 ; Vol. 64, No. 212. pp. 1711-1715.
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Parity of class numbers and witt equivalence of quartic fields. / Jakubec, Stanislav; Marko, František; Szymiczek, Kazimierz.

In: Mathematics of Computation, Vol. 64, No. 212, 01.01.1995, p. 1711-1715.

Research output: Contribution to journalArticle

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