Seminar talk by Prof. Shanta Laishram, ISI Delhi, on 27 March 2023

• Speaker : Prof. Shanta Laishram (ISI Delhi)
• Venue : LHC P C Ray classroom
• Date and time : On 27th March, Monday at 11 a.m.
• Title : On Squares in Arithmetic Progression

Abstract : 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, I will give an overview of the problem with emphasis on the squares case and present some new results and related problems.