Effective Determination of the decomposition of the rational primes in a cubic field

Pascual Llorente, Enric Nart

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59 Citations (Scopus)

Abstract

The decomposition of the rational primes in a cubic field K is determined in terms of the coefficients of a defining polynomial of K. As a consequence, the discriminant D of K is straightforwardly computed and the cubic fields with index i)K) = 2 are easily characterized. © 1983 American Mathematical Society.
Original languageEnglish
Pages (from-to)579-585
JournalProceedings of the American Mathematical Society
Volume87
Issue number4
DOIs
Publication statusPublished - 1 Jan 1983

Keywords

  • Cubic field
  • Discriminant
  • Index of a number field
  • Ramification

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