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Diophantine tuples and their generalizations

Speaker: Chi Hoi Yip

Date: Thu, Mar 27, 2025

Location: PIMS, University of Calgary

Conference: UCalgary Algebra and Number Theory Seminar

Subject: Mathematics, Algebraic Geometry, Number Theory

Class: Scientific

Abstract:

A set {π‘Ž1,π‘Ž2,…,π‘Žπ‘š}of distinct positive integers is a Diophantine π‘š-tuple if the product of any two distinct elements in the set is one less than a square. In this talk, I will discuss some recent results related to Diophantine tuples and their generalizations. Joint work with Ernie Croot, Seoyoung Kim, and Semin Yoo.