Lower bounds for the greatest prime factor of consecutive integers and their applications
Colloquium by T. N. Shorey
Department of Mathematics, IIT Bombay
Mumbai, India
Speaker 
Colloquium by T. N. Shorey
Department of Mathematics, IIT Bombay
Mumbai, India


When 
Sep 29, 2015
from 04:00 PM to 05:00 PM 
Where  LH006 
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Abstract
A theorem of Sylvester states that a product of k >= 2 consecutive positive integers each exceeding k is divisible by a prime exceeding k. We shall give sharpening of these estimates and their extensions. Further I shall give applications of these estimates to irreduciblity of Laguerre polynomial. This is a joint work with Shanta Laishram and Saranya Nair.