The Power of a Prime That Divides a Generalized Binomial Coefficient
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چکیده
The main idea is to consider generalized binomial coefficients that are formed from an arbitrary sequence C, as shown in (3) below. We will isolate a property of the sequence C that guarantees the existence of a theorem like Kummer’s, relating divisibility by prime powers to carries in addition. A special case of the theorem we shall prove describes the prime power divisibility of Gauss’s generalized binomial coefficients [5, §5],
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تاریخ انتشار 2004