Univerza na Primorskem Fakulteta za matematiko, naravoslovje in informacijske tehnologije

Vabljeni na naslednje predavanje!

Sreda, 24. november 2021,
ob 18.00

Velika predavalnica 3, UP FAMNIT ali preko videokonferenčnega orodja ZOOM

“Cikel poljudnih predavanj o matematiki in njeni vlogi v sodobnem svetu”

Prime divisibility of binomial coefficients

natisni

Sreda, 23. marec 2022, ob 18.00, Velika predavalnica 3, UP FAMNIT
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".  I'll show you how to easily determine whether a binomial coefficient is divisible by a prime, even when the numbers involved are quite large.  I'll apply this criterion to a problem that arose in my work with John Shareshian.  The distribution of prime numbers will make an unexpected cameo appearance.