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We calculate the speed of sound $c_s$ in an ideal gas of resonances whose mass spectrum is assumed to have the Hagedorn form $\rho(m) \sim m^{-a}\exp{bm}$, which leads to singular behavior at the critical temperature $T_c = 1/b$.
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For later lattice studies, see F. Karsch, PoS C POD07 (2007) 026 [arXiv:hep-lat/0711.0656]
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