## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### On a Conjecture of Erdos on Squares in Arithmetic Progression

#### Abstract :

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.

Key Speaker Dr. Shanta Laishram (Theoretical Statistics and Mathematics Unit, ISI Delhi)
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM