منابع مشابه
An Extension of Lucas’ Theorem
Let p be a prime. A famous theorem of Lucas states that (mp+s np+t ) ≡ (m n )(s t ) (mod p) if m,n, s, t are nonnegative integers with s, t < p. In this paper we aim to prove a similar result for generalized binomial coefficients defined in terms of second order recurrent sequences with initial values 0 and 1.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2001
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-01-06234-7