×

Rogers-Ramanujan identities in the hard hexagon model. (English) Zbl 0511.05004


MSC:

05A19 Combinatorial identities, bijective combinatorics
82B05 Classical equilibrium statistical mechanics (general)
33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] R. J. Baxter,J. Phys. A: Math. Gen. 13:L61 (1980). · doi:10.1088/0305-4470/13/3/007
[2] R. J. Baxter,Exactly Solved Models in Statistical Mechanics, Chap. 14, (to be published by Academic, London, 1981/2).
[3] D. S. Gaunt and M. E. Fisher,J. Chem. Phys. 43:2840 (1965). · doi:10.1063/1.1697217
[4] L. K. Runnels and L. L. Combs,J. Chem. Phys. 45:2482 (1966). · doi:10.1063/1.1727966
[5] R. J. Baxter, I. G. Enting, and S. K. Tsang,J. Stat. Phys. 22:465 (1980). · doi:10.1007/BF01012867
[6] R. J. Baxter,J. Stat. Phys. 19:461 (1978);Physica 106A:18 (1981). · doi:10.1007/BF01011693
[7] S. K. Tsang,J. Stat. Phys. 20:95 (1979). · doi:10.1007/BF01013748
[8] R. J. Baxter,J. Math. Phys. 9:650 (1968). · doi:10.1063/1.1664623
[9] S. B. Kelland,Can. J. Phys. 54:1621 (1976).
[10] R. J. Baxter and I. G. Enting,J. Stat. Phys. 21:103 (1979). · doi:10.1007/BF01008694
[11] R. J. Baxter and S. K. Tsang,J. Phys. A: Math. Gen. 13:1023 (1980). · doi:10.1088/0305-4470/13/3/035
[12] R. J. Baxter, Exactly Solved Models, inFundamental Problems in Statistical Mechanics V, E. G. D. Cohen, ed. (North-Holland, Amsterdam, 1980).
[13] L. J. Slater,Generalized Hypergeometric Functions (Cambridge University Press, Cambridge, 1966). · Zbl 0135.28101
[14] G. E. Andrews,The Theory of Partitions, Chap. 7 (Addison-Wesley, Reading, Massachusetts, 1976). · Zbl 0371.10001
[15] L. J. Rogers,Proc. London Math. Soc. (1),25:318 (1894). · doi:10.1112/plms/s1-25.1.318
[16] S. Ramanujan,Proc. Cambridge Philos. Soc. 19:214 (1919).
[17] B. J. Birch,Math. Proc. Cambridge Philos. Soc. 78:73 (1975). · Zbl 0305.10002 · doi:10.1017/S0305004100051501
[18] L. J. Rogers,Proc. London Math. Soc. (2),19:387 (1921). · JFM 48.0151.02 · doi:10.1112/plms/s2-19.1.387
[19] G. E. Andrews, The Hard-Hexagon Model and New Rogers-Ramanujan Type Identities, Dept. Math. Research Report 8167, Pennsylvania State University (1981). · Zbl 0526.33004
[20] I. S. Gradshteyn and I. M. Ryzhik,Table of Integrals, Series and Products (Academic, New York, 1965). · Zbl 0918.65002
[21] M. N. Barber and R. J. Baxter,J. Phys. C: Solid State Phys. 6:2913 (1973). · doi:10.1088/0022-3719/6/20/004
[22] L. J. Slater,Proc. London Math. Soc. (2),54:147 (1951). · Zbl 0046.27204 · doi:10.1112/plms/s2-54.2.147
[23] G. N. Watson,J. Indian Math. Soc. 20:57 (1933).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.