Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Number Theory Seminar


Wednesday, May 29th, 2019

Time: 3:30-4:30 p.m.  Place: Jeffery Hall 319

Speaker: Brad Rodgers (Queen's University)

Title: The variance of counts of squarefrees in short intervals

Abstract: Consider the number of squarefree integers in a randomly chosen short interval. In this talk we will discuss a method for computing the variance of such a count. The estimate we arrive at improves an old result of R.R. Hall and confirms a conjecture of Keating and Rudnick in a restricted range. This is joint work with Ofir Gorodetsky, Bingrong Huang, and Maksym Radziwill.