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arxiv: 1709.00778 · v1 · pith:QDPF4Q76new · submitted 2017-09-04 · 🧮 math.CO

On the powers of the descent set statistic

classification 🧮 math.CO
keywords descentpowersstatisticbasedependexpansionfactorsmany
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We study the sum of the $r$th powers of the descent set statistic and how many small prime factors occur in these numbers. Our results depend upon the base $p$ expansion of $n$ and $r$.

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