Unitary cyclotomic polynomials

Moree, Pieter; Tóth, László

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Unitary cyclotomic polynomials

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Moree, Pieter
Max Planck Institute for Mathematics, Max Planck Society;

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Tóth, László
Max Planck Institute for Mathematics, Max Planck Society;

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http://math.colgate.edu/~integers/
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1911.01743.pdf
(Preprint), 238KB

Moree-Toth_Unitary cyclotomic polynomials_2020.pdf
(Publisher version), 378KB

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Citation

Moree, P., & Tóth, L. (2020). Unitary cyclotomic polynomials. Integers, 20: A65.

Cite as: https://hdl.handle.net/21.11116/0000-0006-F2B2-F

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.