eGrove - NSF-CBMS Conference: L-functions and Multiplicative Number Theory: The variance of counts of squarefrees in short intervals
 

The variance of counts of squarefrees in short intervals

Brad Rodgers, Queen's University

Document Type

Presentation

Location

Bryant Hall 209

Start Date

24-5-2019 2:30 PM

End Date

24-5-2019 3:30 PM

Description

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.

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May 24th, 2:30 PM May 24th, 3:30 PM

The variance of counts of squarefrees in short intervals

Bryant Hall 209

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.