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FLAT CYCLOTOMIC POLYNOMIALS OF ORDER THREE

Published online by Cambridge University Press:  30 January 2006

GENNADY BACHMAN
GENNADY BACHMAN
Affiliation:
University of Nevada, Las Vegas, Department of Mathematical Sciences, 4505 Maryland Parkway, Las Vegas, NV 89154-4020, USAbachman@unlv.nevada.edu
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Abstract

A cyclotomic polynomial $\Phi(z)$ is said to be of order 3 if $n=pqr$ for three distinct odd primes $p$, $q$, and $r$. We establish the existence of an infinite family of such polynomials whose coefficients do not exceed 1 in modulus.

Keywords

11B8311C08
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 1 , February 2006 , pp. 53 - 60
Copyright
The London Mathematical Society 2006

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