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math.NT2010
On a Class of Ternary Inclusion-Exclusion Polynomials
Gennady Bachman, Pieter Moree
A ternary inclusion-exclusion polynomial is a polynomial of the form \[ Q_{p,q,r}=\frac{(z^{pqr}-1)(z^p-1)(z^q-1)(z^r-1)} {(z^{pq}-1)(z^{qr}-1)(z^{rp}-1)(z-1)}, \] where , ,…
math.NT2010
On Ternary Inclusion-Exclusion Polynomials
Gennady Bachman
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 appropria…