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Tilings of quadriculated annuli

Nicolau C. Saldanha, Carlos Tomei

math.COarXiv:math/0012265

Abstract

Tilings of a quadriculated annulus A are counted according to volume (in the formal variable q) and flux (in p). We consider algebraic properties of the resulting generating function PhiA(p,q). For q = -1, the non-zero roots in p must be roots of unity and for q > 0, real negative.

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