On partitions with initial repetitions |
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Authors: | Augustine O. Munagi Darlison Nyirenda |
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Affiliation: | 1.School of Mathematics,University of the Witwatersrand,Johannesburg,South Africa |
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Abstract: | We consider George Andrews’ fundamental theorem on partitions with initial repetitions and obtain some partition identities and parity results. A simplified, diagram-free, version of William Keith’s bijective proof of the theorem is presented. Lastly, we obtain extensions and variations of the theorem using a class of Rogers–Ramanujan-type identities for n-color partitions studied by A.K. Agarwal. |
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