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arXiv · 2001.08065

On Arithmetic Progressions of Powers in Cyclotomic Polynomials

Hung Viet Chu
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Abstract

We determine necessary conditions for when powers corresponding to positive/negative coefficients of $\Phi_{n}$ are in arithmetic progression. When $n = pq$ for any primes $q>p>2$, our conditions are also sufficient. Finally, we generalize the result when $n = pq$ to the so-called inclusion-exclusion polynomials first introduced by Bachman.

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Hung Viet Chu. 2020-01-15. On Arithmetic Progressions of Powers in Cyclotomic Polynomials. https://arxiv.org/abs/2001.08065

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