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Prime divisibility of binomial coefficients
natisni
Sreda, 23. marec 2022, ob 18.00, Velika predavalnica 3, UP FAMNIT / ZOOM povezava
Prime divisibility of binomial coefficients
Dr. Russ Woodroofe, UP FAMNIT
How many ways are there to pick k objects out from a bin of n objects? The answer is given by the binomial coefficient "n choose k". We have shown you how to easily determine whether a binomial coefficient is divisible by a prime, even when the numbers involved are quite large. We have applied this criterion to a problem that arose in Dr. Woodroofe's work with John Shareshian. The distribution of prime numbers has made an unexpected cameo appearance.
