On a conjecture of Wilf
|Title:||On a conjecture of Wilf||Authors:||de Wannemacker, Stefan
|Permanent link:||http://hdl.handle.net/10197/7957||Date:||Oct-2007||Abstract:||Let n and k be natural numbers and let S(n,k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum [...] is nonzero for all n>2. We prove this conjecture for all n≢2 and ≢2944838 mod 3145728 and discuss applications of this result to graph theory, multiplicative partition functions, and the irrationality of p-adic series.||Type of material:||Journal Article||Publisher:||Elsevier||Copyright (published version):||2007 Elsevier||Keywords:||Stirling numbers of the second kind; Wilf's conjecture; Graph theory; Multiplicative partition functions; P-adic series; Bell numbers; Generalised bell; Polynomials; Partitions; Matchings||DOI:||10.1016/j.jcta.2007.01.011||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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