Date & Time: Thursday, August 13, 2015, 15:30-16:30.
Venue: Ramanujan Hall
Title: The product of two or more factorials being a factorial
Speaker: Saranya Nair, IIT Bombay
Abstract: A well-known theorem of Sylvester for consecutive integers states that the product of $k$ consecutive integers $m,m+1,...,m+k-1$ is divisible by a prime greater than $k$ if $m >k.$ We discuss an improvement of this result with it's application to a Diophantine equation considered by Erdos, product of two or more factorials being a factorial. Further we give an other application to irreducibility of Laguerre polynomials including truncated exponential polynomials.