The Lehmer project

Lehmer, D. H.; Lehmer, Emma

doi:10.1090/S0025-5718-1993-1189521-9

The Lehmer project
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by D. H. Lehmer and Emma Lehmer PDF

Math. Comp. 61 (1993), 313-317 Request permission

Abstract:

It is shown that cyclic differences of cyclotomic periods can be useful in finding units in cyclic extensions of the rationals of degree less than or equal to 6. The polynomials for these differences are simpler than the polynomials for the corresponding periods. The cyclic differences depend on the choice of a primitive root; the question is raised as to which choices of primitive root yield units.

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