Congruences for Stirling numbers and Eulerian 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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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 ...
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In the paper, the authors establish two identities, which can be regarded as nonlinear differential equations, for the generating function of Eulerian polynomials, find two identities for the Stirling numbers of the second kind, and present two identities for Eulerian polynomials and higher order Eulerian polynomials, pose two open problems about summability of two finite sums involving the Sti...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2008
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa132-4-2