Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Number Theory Seminar


Wednesday, July 11th, 2018

Time: 2:30-3:20p.m.  Place: Jeffery Hall 422

Speaker: M. Ram Murty (Queen's University)

Title: DIOPHANTINE M-TUPLES.

Abstract: Fix an integer n. A Diophantine m-tuple for n is a collection of integers a(1), ..., a(m) such that a(i)a(j)+n is a perfect square whenever i is unequal to j. The study of such tuples has a long and glorious history reaching as far back as the time of Diophantus in the second century C.E. I will survey this topic and report on some recent work with my NSERC USRA student, Riley Becker.