A note on the characterization of cm-ftelds

P. E. Blanksby, J. H. Loxton

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This note deals with some properties of algebraic number fields generated by numbers having all their conjugates on a circle. In particular, it is shown that an algebraic number field is a CM-field if and only if it is generated over the rationals by an element (not equal to ±1) whose conjugates all lie on the unit circle.

Original languageEnglish
Pages (from-to)26-30
Number of pages5
JournalJournal of the Australian Mathematical Society
Volume26
Issue number1
DOIs
Publication statusPublished - 1978
Externally publishedYes

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