Congruences for degenerate number sequences
نویسنده
چکیده
The degenerate Stirling numbers and degenerate Eulerian polynomials are intimately connected to the arithmetic of generalized factorials. In this article we show that these numbers and similar sequences may in fact be expressed as p-adic integrals of generalized factorials. As an application of this identiication we deduce systems of congruences which are analogues and generalizations of the Kummer congruences for the ordinary Bernoulli numbers.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 270 شماره
صفحات -
تاریخ انتشار 2003