On Arithmetic Progressions of Powers in Cyclotomic Polynomials
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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Number Theory
11B83 (primary), 11C08 (secondary)