Antihook differences and some partition identities
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- by A. K. Agarwal PDF
- Proc. Amer. Math. Soc. 110 (1990), 1137-1142 Request permission
Abstract:
Anti-hook differences are applied to give new combinatorial interpretations to three identities from Slater’s Compendium.References
- A. K. Agarwal, Rogers-Ramanujan identities for $n$-color partitions, J. Number Theory 28 (1988), no. 3, 299–305. MR 932378, DOI 10.1016/0022-314X(88)90045-5
- A. K. Agarwal and G. E. Andrews, Hook differences and lattice paths, J. Statist. Plann. Inference 14 (1986), no. 1, 5–14. MR 845909, DOI 10.1016/0378-3758(86)90004-2 —, Rogers-Ramanujan identities for partitions with "$N$ copies of $N$," J. Combin. Theory Ser. Ser. A. F. G. Dyson, Some guesses in the theory of partitions, Eureka (Cambridge) 8 (1944), 10-15. L. J. Rogers, Second memoir on the expansion of certain infinite products, Proc. London Math. Soc. 25 (1884), 318-343.
- L. J. Slater, Further identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 54 (1952), 147–167. MR 49225, DOI 10.1112/plms/s2-54.2.147
Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 1137-1142
- MSC: Primary 11P81; Secondary 05A17
- DOI: https://doi.org/10.1090/S0002-9939-1990-1023341-X
- MathSciNet review: 1023341