On primes not dividing binomial coefficients
نویسندگان
چکیده
منابع مشابه
Binomial Coefficients Involving Infinite Powers of Primes
If p is a prime and n a positive integer, let νp(n) denote the exponent of p in n, and up(n) = n/p νp(n) the unit part of n. If α is a positive integer not divisible by p, we show that the p-adic limit of (−1) up((αp)!) as e → ∞ is a well-defined p-adic integer, which we call zα,p. In terms of these, we then give a formula for the p-adic limit of ( ap+c bpe+d ) as e → ∞, which we call ( ap∞+c b...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 1993
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004100075927