**Date & Time:** August 19, 2015, 16:00-17:00.

**Venue:** Ramanujan Hall

**Title:** Asymptotics of sums of powers of binomial coefficients

**Speaker:** Krishna B. Athreya, Iowa State University

**Abstract:** Polya and Szego posed in their famous 1925 book the problem of
determining the growth rates of sums of powers of binomial coefficients.
We solve this using probability theory, elementary Fourier series and
generalise this to the multinomial case as well. We shall also provide yet
another proof (7th or so) of Stirling's formula.