Affiliation: University of Mysore, India
Email: padma_vathamma@yahoo.com
Title Of Talk: ANALYTIC PROOF OF A PARTITION IDENTITY INVOLVING THREE PARAMETERS
Abstract: In this paper we give an analytic proof of the identity A_{5,3,3}(n) = B^0_{5,3,3}(n) where A_{5,3,3}(n) counts the number of partitions of n subject to certain restrictions on their parts, and B^0_{5,3,3}(n) counts the number of partitions of n subject to certain other restrictions on their parts, both too long to be stated in the abstract. The identity was originally discovered by the author jointly with M.Ruby Salestina and S.R.Sudarshan in [``A new theorem on partitions," Proc.Int. Conference on Special Functions, IMSC, Chennai, India, September 23--27, 2002; to appear], where it was also given a combinatorial proof, thus responding a question of Andrews.
Last update made Thu Nov 11 14:47:22 EST 2004.
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