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We compute the 2n-point renormalized coupling constants in the symmetricphase of the 3d Ising model on the sc lattice in terms of the high temperatureexpansions O(beta^{17}) of the Fourier transformed 2n-point connectedcorrelation functions at zero momentum. Our high temperature estimates of thesequantities, which enter into the small field expansion of the effectivepotential for a 3d scalar field at the IR fixed point or, equivalently, in thecritical equation of state of the 3d Ising model universality class, arecompared with recent results obtained by renormalization group methods, strongcoupling, stochastic simulations as well as previous high temperatureexpansions.Comment: 11 pages, latex, no figures; to appear in Phys. Rev. E, April 199

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

2n-point renormalized coupling constants in the three-dimensional Ising model:Estimates by high temperature series to order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Β</mml:mi></mml:mrow><mml:mrow><mml:mn>17</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>

2n-point renormalized coupling constants in the three-dimensional Ising model:Estimates by high temperature series to orderΒ17