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Partition asymptotics from one-dimensional quantum entropy and energy currents
1.G. H. Hardy and S. Ramanujan, Proc. London Math. Soc. 17, 75 (1918).
2.H. Rademacher, Proc. London Math. Soc. 43, 241 (1937).
3.G. E. Andrews, The Theory of Partitions (Addison–Wesley, Reading, MA, 1976).
4.Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (USGPO, Washington, DC, 1964).
5.P. Hagis, Trans. Am. Math. Soc. 155, 375 (1971).
6.G. Gentile, Nuovo Cimento 17, 493 (1940);
6.See also S. Katsura, K. Kaminishi, and S. Inawashiro, J. Math. Phys. 11, 2691 (1970), and references therein.
7.C. M. Caves and P. D. Drummond, Rev. Mod. Phys. 66, 481 (1994).
8.U. Sivan and Y. Imry, Phys. Rev. B 33, 551 (1986).
9.F. D. M. Haldane, Phys. Rev. Lett. 67, 937 (1991).
10.L. G. C. Rego and G. Kirczenow, Phys. Rev. B 59, 13080 (1999).
11.I. V. Krive and E. R. Mucciolo, Phys. Rev. B 60, 1429 (1999).
12.Y.-S. Wu, Phys. Rev. Lett. 73, 922 (1994).
13.Interestingly, if the chemical potential of the left reservoir is nonzero, then the lower integration range of Eq. (18) tends to zero in the degenerate limit so that the single channel entropy current is universal, i.e., independent of the particle statistics. In general, the formulation of thermodynamical quantities in terms of polylogarithms is a powerful method for revealing equivalences between different statistical systems. See M. H. Lee, Phys. Rev. E 55, 1518 (1997);
13.M. H. Lee, J. Math. Phys. 36, 1217 (1994).
14.M. V. N. Murthy and R. Shankar, Phys. Rev. B 60, 6517 (1999).
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