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Inequalities for higher order differences of the logarithm of the overpartition function and a problem of
1Institute for Algebra, Johannes Kepler University, Altenberger Strasse 69, 4040 Linz, Austria.
Abstract:
Let denote the overpartition function. In this paper, our primary goal is to study the asymptotic behavior of the finite differences of the logarithm of the overpartition function, i.e., , by studying the inequality of the following form
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