Math ClubIntegrality of Binomial CoefficientsEmily Gunawan (UConn)

Wednesday, February 20, 2019
5:45pm – 6:35pm

Storrs Campus
Monteith 321

Binomial coefficients have been studied since the tenth century and appear in many places. They are integers, but from some of the ways of defining them this property is not evident! We will present various proofs of the integrality of the binomial coefficients using techniques such as a recursion, combinatorics, calculus, and group theory. Time permitting, we will discuss a generalization called a $$q$$-analogue, where the non-obvious property of being an integer is replaced by the non-obvious property of being a polynomial.

Contact:

Keith Conrad (kconrad@math.uconn.edu)

Math Club (primary), UConn Master Calendar