Concave and convex compositions |
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Authors: | George E. Andrews |
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Affiliation: | 1. Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, USA
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Abstract: | In a previous work, concave compositions were defined with the restriction that there be essentially the same number of parts on each side of the minimal part. In this work, we drop that restriction, and, in addition, we consider convex compositions as well. We shall link the related generating functions to combinations of classical, false, or mock theta functions and other Appell–Lerch sums. |
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