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On a Generalization of Bernoulli and Euler Numbers
Generalization of Bernoulli Euler Numbers Combinatorics
2011/9/15
Abstract: We introduce a series of numbers which serve as a generalization of Bernoulli, Euler numbers and binomial coefficients. Their properties are applied to solve a probability problem and sugges...
We show that if p is an odd prime then p−1 X k=0 EkEp−1−k 1 (mod p) and p−3 X k=0 EkEp−3−k (−1)(p−1)/22Ep−3 (mod p),where E0,E1,E2, . . . are ...