Cyclotomy and delta units

Abstract

Abstract.In this paper we examine cyclic cubic, quartic, and quintic number fields of prime conductor p containing units that bear a special relationship to the classical Gaussian periods: n¡ -nj+x + c is a unit for periods r\¡ and c e Z.

The Lehmer project

“…No new units were discovered. Lazarus [2] has proved the converses of some of the theorems in this paper.…”