School of Mathematics and Statistics - Research Publications
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ItemPartial Theta Functions. I. Beyond the Lost Notebook(Wiley, 2003-09)
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ItemSummation and transformation formulas for elliptic hypergeometric series(Springer Science and Business Media LLC, 2002-12)
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ItemVicious walkers, friendly walkers, and young tableaux. III. Between two walls(SPRINGER, 2003-03-01)
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ItemCritical behavior of the two-dimensional Ising susceptibility(AMERICAN PHYSICAL SOC, 2001-04-30)We report computations of the short- and long-distance (scaling) contributions to the square-lattice Ising susceptibility. Both computations rely on summation of correlation functions, obtained using nonlinear partial difference equations. In terms of a temperature variable tau, linear in T/Tc-1, the short-distance terms have the form tau(p)(ln/tau/)q with p> or =q2. A high- and low-temperature series of N = 323 terms, generated using an algorithm of complexity O(N6), are analyzed to obtain the scaling part, which when divided by the leading /tau/(-7/4) singularity contains only integer powers of tau. Contributions of distinct irrelevant variables are identified and quantified at leading orders /tau/(9/4) and /tau/(17/4).