Assis, M.; Jacobsen, J. L.; Jensen, I.; Maillard, J.-M.; McCoy, B. M. The hard hexagon partition function for complex fugacity. (English) Zbl 1284.82014 J. Phys. A, Math. Theor. 46, No. 44, Article ID 445202, 46 p. (2013). This study considers the problem of determining the analyticity of the free energy in the complex plane by computing the zeros of the partition function on large lattices and comparing these zeros with the locus computed from fugacity. As a by-product, one obtains a new algebraic equation for the low density partition function per site. Reviewer: Guy Jumarie (Montréal) Cited in 1 Document MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 15A18 Eigenvalues, singular values, and eigenvectors 34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators Software:ARPACK PDFBibTeX XMLCite \textit{M. Assis} et al., J. Phys. A, Math. Theor. 46, No. 44, Article ID 445202, 46 p. (2013; Zbl 1284.82014) Full Text: DOI arXiv Online Encyclopedia of Integer Sequences: Number of n-bead two-color bracelets with 00 prohibited.