The variance of the number of sums of two squares in Fq[T] in short intervals
Consider the number of integers in a short interval that can be represented as a sum of two squares. What is an estimate for the variance of these counts over random short intervals? We resolve a function field variant of this problem in the large q limit, finding a connection to the z-measures firs...
Main Authors: | , |
---|---|
Format: | Journal article |
Language: | English |
Published: |
Johns Hopkins University Press
2021
|