Cyclotomy and Delta Units

Lazarus, Andrew J.

doi:10.2307/2152954

Mathematics of Computation

1993

DOI: 10.2307/2152954

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Cyclotomy and Delta Units

Andrew J. Lazarus¹

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.

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1993

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The Lehmer project

Lehmer¹,

Lehmer²

1993

Math. Comp.

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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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The Lehmer project

Lehmer¹,

Lehmer²

1993

Math. Comp.

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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.

Cited by 1 publication

References 4 publications

The Lehmer project

The Lehmer project

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