Gaussian periods and units in certain cyclic fields-Reference-Cited by-同舟云学术

Gaussian periods and units in certain cyclic fields

Published:1992 Issue:4 Volume:115 Page:961-968
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lazarus Andrew J.

Abstract

We analyze the property of period-unit integer translation (there exists a Gaussian period η \eta and rational integer c c such that η + c \eta + c is a unit) in simplest quadratic, cubic, and quartic fields of arbitrary conductor. This is an extension of work of E. Lehmer, R. Schoof, and L. C. Washington for prime conductor. We also determine the Gaussian period polynomial for arbitrary conductor.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-115-04/S0002-9939-1992-1093600-5/S0002-9939-1992-1093600-5.pdf

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