The 2-adic valuations of Stirling numbers

2007/07/20 by Tewodros Amdeberhan, Amdeberhan, Tewodros, Dante Manna +3
Mathematics · #11A99 #11Y55 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A99 #msc:11Y55

paper · pdf · doi:10.48550/arxiv.0707.3104

21 figures

arxiv created 2007/07/20 · arxiv updated 2009/12/01

Abstract

The 2-adic valuation of the Stirling numbres is examined. We conjecture pattrens about the distributions of these valuations in residue classes modulo powers of 2.

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