Parity of class numbers and witt equivalence of quartic fields

Stanislav Jakubec, František Marko, Kazimierz Szymiczek

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 - Oct 1995

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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