Determinants in plane partition enumeration

European Journal of Combinatorics

Volumn 19, Issue 3, 1998, Pages 273-282

  Andrews, George E ^a   Stanton, Dennis W ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032376621     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1997.0184     Document Type: Article

References (12)

1. G. E. Andrews, Plane partitions III: the weak Macdonald conjecture, Invent. Math. 53 (1979), 193-225.
2. G. E. Andrews, Pfaff's method (I): the Mills-Robbins-Rumsey determinant, Discrete Math. (to appear).
3. G. E. Andrews, Pfaff's method (III): comparison with the WZ method, Elec. J. Combinatorics 3 (1996), 517-534.
4. G. E. Andrews and W. H. Burge, Determinant identities, Pacific J. Math. 158 (1993), 1-14.
5. W. N. Bailey, Products of generalized hypergeometric series, Proc. London Math. Soc. Ser. 2 28 (1928), 242-254.
6. W. N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, Cambridge, 1935 (reprinted: Hafner, New York, 1964).
7. S. Ekhad and D. Zeilberger, Curing the Andrews syndrome, J. Diff. Eqns Appl. to appear.
8. I. Gessel and D. Stanton, Strange evaluations of hypergeometric series, S.I.A.M. J. Math. Anal. 13 (1982), 295-308.
9. I. Gessel and D. Stanton, Applications of q-Lagrange inversion to basic hypergeometric series, Trans. Am. Math. Soc. 277 (1983), 173-201.
10. C. Krattenthaler, An alternative evaluation of the Andrews-Burge determinant, Proceedings of the Rotafest to appear.
11. W. H. Mills, D. P. Robbins, and H. Rumsey, Enumeration of a symmetry class of plane partitions Discrete Math. 67 (1987), 43-55.
12. M. Petkovsek and H. Wilf, A High-tech proof of the Mills-Robbins-Rumsey determinant formula, Elec. J. Combinatorics 3 (1996), 499-502.