Congruences for the Stirling numbers and associated Stirling numbers
نویسندگان
چکیده
منابع مشابه
Congruences on Stirling Numbers and Eulerian Numbers
In this paper, we establish some Fleck-Weisman type congruences for the Stirling numbers and the Eulerian numbers.
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In this paper we obtain some sophisticated combinatorial con-gruences involving binomial coefficients and confirm two conjectures of the author and Davis. They are closely related to our investigation of the pe-riodicity of the sequence P l j=0ì j ´ S(j, m)a l−j (l = m, m + 1,. . .) modulo a prime p, where a and m > 0 are integers, and those S(j, m) are Stirling numbers of the second kind. We a...
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We show how generalized Zagreb indices $M_1^k(G)$ can be computed by using a simple graph polynomial and Stirling numbers of the second kind. In that way we explain and clarify the meaning of a triangle of numbers used to establish the same result in an earlier reference.
متن کاملCongruences for Bernoulli , Euler , and Stirling Numbers Paul
The values at x=0 are called Bernoulli and Euler numbers of order w; when w=1, the polynomials or numbers are called ordinary. When x=0 or w=1, we often suppress that part of the notation; e.g., B (w) n denotes B n (0), En(x) denotes E (1) n (x), and Bn denotes B (1) n (0). These numbers have been extensively studied and many congruences for them are known. Among the most important results are ...
متن کاملThe p-Stirling Numbers
The purpose of this article is to introduce p-Stirling numbers of the first and second kinds.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1990
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-55-1-29-41