FROBENIUS PARTITION THEORETIC INTERPRETATION OF A FIFTH ORDER MOCK THETA FUNCTION Page No: 859-863

M Rana and AK Agarwal

Keywords: Mock theta function, combinatorial interpretations, colored partitions, lattice paths, frobenius partitions, combinatorial identities.

Abstract: Recently we gave two combinatorial interpretations of - a fifth order mock theta function by using (n+2) - color partitions and lattice paths. In this paper we give one more combinatorial meaning to the same mock theta function by using generalized Frobenius partitions. This results in a three - way combinatorial identity. AMS Subject Classification (2000): 05A15, 05A17, 11P81.



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