Unitary cyclotomic polynomials
arXiv:1911.01743
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.
20 p., part II is called Coefficients of (inverse) unitary cyclotomic polynomials