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Journal de Th´

eorie des Nombres

de Bordeaux

16

(2004), 215–220

Normal integral bases for Emma Lehmer’s

parametric family of cyclic quintics

par

Blair K. SPEARMAN

et

Kenneth S. WILLIAMS

R´

esum´

e.

Nous donnons des bases normales enti`eres explicites

pour des extensions cycliques quintiques d´efinies par la famille

param´etr´ee de quintiques d’Emma Lehmer.

Abstract.

Explicit normal integral bases are given for some

cyclic quintic fields defined by Emma Lehmer’s parametric family

of quintics.

Blair K.Spearman

Department of Mathematics and Statistics Okanagan University College

Kelowna, B.C. Canada V1V 1V7

E-mail:[email protected]

Kenneth S.Williams

School of Mathematics and Statistics Carleton University

Ottawa, Ontario, Canada K1S 5B6

E-mail:[email protected]

Manuscrit re¸cu le 18 octobre 2002.

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