## 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.