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A Note on Heights of Cyclotomic Polynomials

Number Theory 2025-03-05 v2
Authors: Gennady Bachman , Christopher Bao , Shenlone Wu
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Abstract

We show that for any positive integer hh, either hh or h+1h+1 is a height of some cyclotomic polynomial Φn\Phi_n, where nn is a product of three distinct primes.

Keywords

ehrhart theory polynomial theory

Cite

@article{arxiv.2309.03422,
  title  = {A Note on Heights of Cyclotomic Polynomials},
  author = {Gennady Bachman and Christopher Bao and Shenlone Wu},
  journal= {arXiv preprint arXiv:2309.03422},
  year   = {2025}
}

Comments

9 pages, no figures

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R2 v1 2026-06-28T12:14:52.679Z