Wednesday
23
October 2024
4:30 PM IST
Location
Room 208, School of Arts and Sciences
Central Campus
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On Squares in an Arithmetic Progression
Mathematical and Physical Sciences Divisional Seminar Series
Shanta Laishram
Professor
Indian Statistical Institute, New Delhi
Speaker
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, the speaker will give an overview of the problem with emphasis on the squares case and present some new results and related problems.
Speaker
Shanta Laishram
Professor Shanta Laishram has been at the Indian Statistical Institute, New Delhi since 2010 where he is now full Professor of Mathematics. Prior to that he held short term positions at ETH Zurich, IISER Bhopal, TIFR, University of Waterloo and Max-Planck Institute of Mathematics. His PhD was in number theory from TIFR.
