On a certain family of inverse ternary cyclotomic polynomials

Bartlomiej Bzdega

On a certain family of inverse ternary cyclotomic polynomials

Number Theory 2014-07-15 v1

Authors: Bartlomiej Bzdega

Abstract

We study a family of inverse ternary cyclotomic polynomials $\Psi_{pqr}$ in which $r\le\varphi(pq)$ is a positive linear combination of $p$ and $q$ . We derive a formula for the height of such polynomial and characterize all flat polynomials in this family.

Keywords

inverse ternary cyclotomic polynomials height of polynomials flat polynomials linear combination number theory

Cite

@article{arxiv.1308.2067,
  title  = {On a certain family of inverse ternary cyclotomic polynomials},
  author = {Bartlomiej Bzdega},
  journal= {arXiv preprint arXiv:1308.2067},
  year   = {2014}
}

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11 pages

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