Event Title
The variance of counts of squarefrees in short intervals
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.
Recommended Citation
Rodgers, Brad, "The variance of counts of squarefrees in short intervals" (2019). NSF-CBMS Conference: L-functions and Multiplicative Number Theory. 17.
https://egrove.olemiss.edu/cbms2019/2019/schedule/17
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.