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Titlebook: Analytic Number Theory, Modular Forms and q-Hypergeometric Series; In Honor of Krishna George E. Andrews,Frank Garvan Conference proceedin

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,The Alladi–Schur Polynomials and Their Factorization, multiple of 3. Subsequently, the theorem was refined to count also the number of parts in the relevant partitions. In this paper, a surprising factorization of the related polynomial generating functions is developed.
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New Representations for , via Reciprocity Theorems,ization of a recent transformation of Andrews, Schultz, Yee, and the second author. The advantage of these representations is that they involve free complex parameters—one in the first representation, and two in the second. In the course of obtaining these results, we arrive at one- and two-variable generalizations of ..
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Integral Points on a Very Flat Convex Curve, means that one has . for some .. He also proved that when ., the quantity . is bounded. In this paper, the authors prove that in general the bound (*) cannot be improved for .curves, i.e. those for which .; however, if one imposes a 0 tangent at one extremity of the curve, then (*) is replaced by the sharper inequality ..
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Contributions to Management Sciencenderlying identities for three-colored partitions. In this paper, we continue our investigation of companions to Capparelli’s identities, and prove two new general identities for three-colored partitions that specialize to Jacobi theta functions and false theta functions.
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