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On a Conjecture of Erdos on Squares in Arithmetic Progression

Speaker: Shanta Laishram, Professor, Indian Statistical Institute Delhi

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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.
https://www.youtube.com/watch?v=jxImdBKOSew

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