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On the number of divisors of binomial coefficients

✍ Scribed by Fedorov, G. V.

Book ID
120048946
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
557 KB
Volume
93
Category
Article
ISSN
0001-4346

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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