On $p$-adic valuations of Stirling numbers
Tom 186 / 2018
Acta Arithmetica 186 (2018), 337-348
MSC: Primary 11B73.
DOI: 10.4064/aa170809-9-3
Opublikowany online: 19 November 2018
Streszczenie
The aim of this paper is to prove two conjectures concerning $p$-adic valuations of Stirling numbers of the second kind, stated by Amdeberhan, Manna and Moll (2008) and Berrizbeitia et al. (2010). The proof uses methods of $p$-adic analysis.
