On Ternary Inclusion-Exclusion Polynomials

Details On Ternary Inclusion-Exclusion Polynomials On Ternary Inclusion-Exclusion Polynomials

2010-06-02

arxiv.org/abs/1006.0518v1

Mathematics

Number Theory

12 pages; final version-to appear in Integers

Scientific paper

Taking a combinatorial point of view on cyclotomic polynomials leads to a larger class of polynomials we shall call the inclusion-exclusion polynomials. This gives a more appropriate setting for certain types of questions about the coefficients of these polynomials. After establishing some basic properties of inclusion-exclusion polynomials we turn to a detailed study of the structure of ternary inclusion-exclusion polynomials. The latter subclass is exemplified by cyclotomic polynomials $\Phi_{pqr}$, where $p

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