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Number of divisors of the central binomial coefficient

✍ Scribed by Fedorov, G. V.

Book ID
121339344
Publisher
Allerton Press Inc
Year
2013
Tongue
English
Weight
370 KB
Volume
68
Category
Article
ISSN
0027-1322

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Prime power divisors of binomial coeffic
Prime power divisors of binomial coefficients
✍ Paul ErdΓΆs; Grigori Kolesnik πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 582 KB

It is known that for sufficiently large n and m and any r the binomial coefficient (~) which is close to the middle coefficient is divisible by pr where p is a 'large' prime. We prove the exact divisibility of (,~) by p' for p>c(n). The lower bound is essentially the best possible. We also prove som