S. Laishram (Indian Statistical Institute): On Squares in an Arithmetic Progression

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 consider the problem with emphasis on the square case and present some new results. I will also present some results on a related conjecture of Erd\H{o}s and Rudin on the number of squares in an arithmetic progression of a given length.

Meeting link: https://unideb.webex.com/unideb/j.php?MTID=m4382ba5368f29db610959fab9d940ff2

Meeting number: 2785 117 8532