Congruences for Bernoulli , Euler , and Stirling Numbers Paul
نویسنده
چکیده
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 the Kummer congruences for the ordinary Bernoulli numbers, which in their simplest form state that
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