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On $p$-adic valuations of Stirling numbers

Volume 186 / 2018

Piotr Miska Acta Arithmetica 186 (2018), 337-348 MSC: Primary 11B73. DOI: 10.4064/aa170809-9-3 Published online: 19 November 2018

Abstract

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.

Authors

  • Piotr MiskaInstitute of Mathematics
    Faculty of Mathematics and Computer Science
    Jagiellonian University in Cracow
    Łojasiewicza 6
    30-348, Kraków, Poland
    e-mail

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