On Squares in an Arithmetic Progression
Organizer
Speaker
Shanta Laishram
Time
Thursday, November 6, 2025 3:00 PM - 4:30 PM
Venue
A3-2-301
Online
Zoom 230 432 7880
(BIMSA)
Abstract
A remarkable result of Erdos and Selfridge states that a product of two or more consecutive integers is never a perfect power. It is conjectured that a product of four or more consecutive terms of an arithmetic progression is never a perfect power. In this talk, I will give an overview of the problem with emphasis on the square case and present some new results. I will also present some results on a related conjecture of Erdős and Rudin on the number of squares in an arithmetic progression of a given length.