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Borel-Le Roy summability of the high temperature expansion for classical continuous systems

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For classical gases with suitable pair interactions such that Φ(r)∼(lnr −1)p asr→0 (p∈ℕ), the Taylor expansion inβ of the correlation functions and the pressure are summable atβ=0 by the Borel-Le Roy method of orderp+1.

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Communicated by J. Fröhlich

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Maioli, M. Borel-Le Roy summability of the high temperature expansion for classical continuous systems. Commun.Math. Phys. 98, 245–251 (1985). https://doi.org/10.1007/BF01220511

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  • DOI: https://doi.org/10.1007/BF01220511

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