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 |
| Add event to calendar |
vCal
iCal
|
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.