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A new expansion is given for partial sums of Eulerʼs pentagonal number series. As a corollary we derive an infinite family of inequalities for the partition function, p(n).
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This page is a summary of: The truncated pentagonal number theorem, Journal of Combinatorial Theory Series A, November 2012, Elsevier,
DOI: 10.1016/j.jcta.2012.05.001.
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