Room 208, School of Arts and Sciences
Central Campus
A remarkable result of Erdos and Selfridge states that a product of two or more consecutive integers is never a perfect power. Erdos conjectured that if a product of k consecutive terms of an arithmetic progression is a perfect power, then k is bounded explicitly. In this talk, the speaker will give an overview of the problem with emphasis on the squares case and present some new results and related problems.
Professor Shanta Laishram has been at the Indian Statistical Institute, New Delhi since 2010 where he is now full Professor of Mathematics. Prior to that he held short term positions at ETH Zurich, IISER Bhopal, TIFR, University of Waterloo and Max-Planck Institute of Mathematics. His PhD was in number theory from TIFR.
