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We perform various resummations of the hot QCD pressure based on the actualknowledge of the perturbation series which includes the g**6 ln(1/g) and partof the g**6 terms. Resummations are performed separately for the short- andlong-distance parts. The g**6 term of the short-distance pressure is estimatedon the basis on the known UV cutoff dependence of the long-distance part. Theresummations are of the Pade and Borel-Pade type, using in addition the(Pade-)resummed expression for the squared screening mass mE**2 and for theEQCD coupling parameter gE**2. The resummed results depend weakly on the yetunknown g**6 terms and on the the short-range renormalization scale, at alltemperatures. The dependence on the long-range renormalization scale isappreciable at low temperatures T < 1 GeV. The resulting dependence of pressureon temperature T is compatible with the results of the lattice calculations atlow T.Comment: 25 pages, 15 double figures, 4 single figures, revtex4; thoroughly  extended analysis; more figures; conclusions more clearly formulated; new  references added; title slightly changed; accepted for publication in  Phys.Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

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Padé-related resummations of the pressure of quark-gluon plasma by approximate inclusion ofgs6terms