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The bulk critical specific heat capacity of a classical anharmonic crystal with long-range interaction (decreasing at large distances r as r −d−σ , where d is the space dimensionality and 0 < σ ≤ 2) is studied. An exact analytical expression is obtained at the upper critical dimension d = 2σ of the system. This result depends on both the deviation from the critical point and the space dimensionality of the system, while the known asymptotic one depends only on the deviation from the criticaldoi:10.1088/1742-6596/558/1/012019 fatcat:uyzfuqz75ze4bptup2ceznzb6y