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We have extended, from order 12 through order 25, the high-temperature seriesexpansions (in zero magnetic field) for the spin-spin correlations of thespin-S Ising models on the square, simple-cubic and body-centered-cubiclattices. On the basis of this large set of data, we confirm accurately thevalidity of the scaling and universality hypotheses by resuming several testswhich involve the correlation function, its moments and the exponential or thesecond-moment correlation-lengths.Comment: 21 pages, 8 figure

physical review. b, condensed matter and materials physics

Updated tests of scaling and universality for spin-spin correlations in the two- and three- dimensional spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Ising models using high-temperature expansions

Updated tests of scaling and universality for spin-spin correlations in the two- and three- dimensional spin-SIsing models using high-temperature expansions