Unitary cyclotomic polynomials
Unitary cyclotomic polynomials
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
Q1 Science (General) / természettudomány általában, inclusion-exclusion polynomials, Mathematics - Number Theory, unitary cyclotomic polynomials, Arithmetic functions; related numbers; inversion formulas, FOS: Mathematics, Number Theory (math.NT), cyclotomic polynomials, Polynomials in number theory
Q1 Science (General) / természettudomány általában, inclusion-exclusion polynomials, Mathematics - Number Theory, unitary cyclotomic polynomials, Arithmetic functions; related numbers; inversion formulas, FOS: Mathematics, Number Theory (math.NT), cyclotomic polynomials, Polynomials in number theory
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