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The sextic period polynomial

Published online by Cambridge University Press:  17 April 2009

Andrew J. Lazarus
Andrew J. Lazarus
Affiliation:
2745 Elmwood Ave Berkeley CA 94705United States of America
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In this paper we show that the method of calculating the Gaussian period polynomial which originated with Gauss can be replaced by a more general method based on formulas for Lagrange resolvants. The period polynomial of cyclic sextic fields of arbitrary conductor is determined by way of example.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 293 - 304
Copyright
Copyright © Australian Mathematical Society 1994

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