English

Unitary cyclotomic polynomials

Number Theory 2019-11-06 v1

Abstract

The notion of block divisibility naturally leads one to introduce unitary cyclotomic polynomials. We formulate some basic properties of unitary cyclotomic polynomials and study how they are connected with cyclotomic, inclusion-exclusion and Kronecker polynomials. Further, we derive some related arithmetic function identities involving the unitary analog of the Dirichlet convolution.

Keywords

Cite

@article{arxiv.1911.01743,
  title  = {Unitary cyclotomic polynomials},
  author = {Pieter Moree and László Tóth},
  journal= {arXiv preprint arXiv:1911.01743},
  year   = {2019}
}

Comments

20 p., part II is called Coefficients of (inverse) unitary cyclotomic polynomials

R2 v1 2026-06-23T12:05:20.201Z