Theoretical Statistics and Mathematics Unit, ISI Delhi

March 27, 2019 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Shanta Laishram,
ISI Delhi

Title:
On a Conjecture of Erdos on Squares in Arithmetic Progression

Abstract of Talk

A remarkable result of Erdos and Selfridge states that a product of a 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, I will give an overview of the problem with emphasis on the squares case and present some new results.