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We present the three loop contribution (order $e^4$) to the pressure ofmassless quantum electrodynamics at nonzero temperature. The calculation isperformed within the imaginary time formalism. Dimensional regularization isused to handle the usual, intermediate stage, ultraviolet and infraredsingularities, and also to prevent overcounting of diagrams during resummation.Comment: ANL-HEP-PR-94-02, SPhT/94-054 (revised final version

Three-Loop Equation of State of QED at High Temperature