Classifying real Lehmer triples: a revived computation

Authors

  • Robert Juricevic

DOI:

https://doi.org/10.11575/cdm.v4i1.62002

Abstract

In this article we build on the work of Schinzel \cite{schinzelI}, and prove that if $n>4$, $n\neq 6$, $n/(\eta \kappa)$ is an odd integer, and the triple $(n,\alpha,\beta)$, in case $(\alpha-\beta)^2>0$, is not equivalent to a triple $(n,\alpha,\beta)$ from an explicit table, then the $n$th Lehmer number $u_n(\alpha, \beta)$ has at least two primitive divisors.

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Published

2009-06-08

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Section

Articles