On Arithmetic Progressions of Powers in Cyclotomic Polynomials

  title={On Arithmetic Progressions of Powers in Cyclotomic Polynomials},
  author={H{\`u}ng Vi{\^e}t Chu},
  journal={The American Mathematical Monthly},
  pages={268 - 272}
  • H. Chu
  • Published 15 January 2020
  • Mathematics
  • The American Mathematical Monthly
ABSTRACT We determine necessary conditions for when powers corresponding to positive/negative coefficients of are in arithmetic progression. When n = pq for any primes , 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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