Primitive free cubics with specified norm and trace

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


The existence of a primitive free (normal) cubic x(3) ax(2) + cx b over a finite field F with arbitrary specified values of a (not equal 0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed.

Original languageEnglish
Pages (from-to)3099-3116
Number of pages18
JournalTransactions of the American Mathematical Society
Issue number8
Publication statusPublished - Aug 2003


  • Normal bases
  • Fields
  • Sums


Dive into the research topics of 'Primitive free cubics with specified norm and trace'. Together they form a unique fingerprint.

Cite this