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Congruences for Weighted and Degenerate Stirling Numbers

In: Applications of Fibonacci Numbers

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  • F. T. Howard

Abstract

Let s(n,k) and S(n,k) be the (unsigned) Stirling numbers of the first and second kinds respectively [8, pp. 204–219]. In [1] and [10] congruence formulas (mod p), p prime, are proved for s(n,k) and S(n,k). As applications, the residues (mod p) for p = 2, 3, and 5 are worked out for both kinds of Stirling numbers. In [10] similar formulas are proved for the associated Stirling numbers d(n,k) and b(n,k).

Suggested Citation

  • F. T. Howard, 1990. "Congruences for Weighted and Degenerate Stirling Numbers," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 161-170, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-1910-5_18
    DOI: 10.1007/978-94-009-1910-5_18
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