 1030 Paul Federbush
 On the New Dimer lambda_d xExpansion,Triangular and Hexagonal Lattices too
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Feb 3, 10

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Abstract. In recent work the author presented a formal expansion for lambda_d associated to the dimer problem on a ddimensional rectangular lattice. Expressed in terms of d it yielded a presumed asymptotic expansion for lambda_d in inverse powers of d. We also considered an expansion in powers of x, a formal variable ultimately set equal to 1. We believe this series has better asymptotic properties than the expansion in inverse powers of d. We discuss this, and apply the same method to the twodimensional triangular and hexagonal lattices. Viewed as a test of the xexpansion the results on those two lattices are satisfactory, if not thoroughly convincing.
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