Exact p-adic valuations of Stirling numbers of the first kind
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DOI: 10.1016/j.jnt.2017.01.023
Abstract: Abstract For any positive integer k and prime p, we define an explicit set A k , p of positive integers n, having positive upper and lower density, on which the p-adic valuation of the… read more here.
Keywords: exact adic; kind; stirling numbers; valuations stirling ... See more keywords
Stirling Numbers of Uniform Trees and Related Computational Experiments
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DOI: 10.3390/a16050223
Abstract: The Stirling numbers for graphs provide a combinatorial interpretation of the number of cycle covers in a given graph. The problem of generating all cycle covers or enumerating these quantities on general graphs is computationally… read more here.
Keywords: stirling numbers; related computational; uniform trees; trees related ... See more keywords
A Note on Degenerate Catalan-Daehee Numbers and Polynomials
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DOI: 10.3390/sym14102169
Abstract: In this paper, we consider the degenerate forms of the Catalan–Daehee polynomials and numbers by the Volkenborn integrals and obtain diverse explicit expressions and formulas. Moreover, we show the expressions of the degenerate Catalan–Daehee numbers… read more here.
Keywords: catalan daehee; stirling numbers; daehee numbers; degenerate catalan ... See more keywords