Mathematics Colloquium | Shanta Laishram
April 13 @ 4:30 pm - 5:30 pm
Speaker: Shanta Laishram
Professor, Indian Statistical Institute Delhi
Title: 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 and related problems.