Witt equivalencec lasses of quartic number fields

Stanislav Jakubec, František Marko

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

It has recently been established that there are exactly seven Witt equivalence classes of quadratic number fields, and then all quadratic and cubic number fields have been classified with respect to Witt equivalence. In this paper we have classified number fields of degree four. Using this classification, we have proved the Conjecture of Szymiczek about the representability of Witt equivalence classes by quadratic extensions of quadratic fields.

Original languageEnglish (US)
Pages (from-to)355-368
Number of pages14
JournalMathematics of Computation
Volume58
Issue number197
DOIs
StatePublished - Jan 1992

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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