zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Rogers-Ramanujan identities in the hard hexagon model. (English) Zbl 0511.05004

05A19Combinatorial identities, bijective combinatorics
82B05Classical equilibrium statistical mechanics (general)
33D15Basic hypergeometric functions of one variable, ${}_r\phi_s$
Full Text: DOI
[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). · 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).