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In this paper we give an analytic proof of the identity A5,3,3(n)=B5,3,30 (n), where A5,3,3(n) counts the number of partitions of n subject to certain restrictions on their parts, and B5,3,30 (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. Our proof establishes actually a refinement of that partition...
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