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arXiv · 1903.02951

Cyclotomic ordering conjecture

S. P. Glasby
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Abstract

This note describes a conjecture involving cyclotomic polynomials and some initial thoughts towards a solution. Given positive integers $m,n$, the conjecture is that either $Φ_m(q)\leqslantΦ_n(q)$ or $Φ_m(q)\geqslantΦ_n(q)$ holds for all integers $q\geqslant 2$. Pomerance and Rubinstein-Salzedo proved the conjecture in a preprint called `Cyclotomic coincidences' [arXiv:1903.01962].

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S. P. Glasby. 2019-03-06. Cyclotomic ordering conjecture. https://arxiv.org/abs/1903.02951

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