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arXiv · 1803.04533

A note on $p$-adic locally analytic functions with application to behavior of the $p$-adic valuations of Stirling numbers

Piotr Miska
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Abstract

The aim of this paper is to prove conjectures concerning $p$-adic valuations of Stirling numbers of the second kind $S(n,k)$, $n,k\in\mathbb{N}_+$, stated by Amdeberhan, Manna and Moll and Berrizbeitia et al., where $p$ is a prime number. The proof is based on elementary facts from $p$-adic analysis.

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Piotr Miska. 2018-03-12. A note on $p$-adic locally analytic functions with application to behavior of the $p$-adic valuations of Stirling numbers. https://arxiv.org/abs/1803.04533

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