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...

Полное описание

Библиографические подробности
Главные авторы: Gorodetsky, O, Rodgers, B
Формат: Journal article
Язык:English
Опубликовано: Johns Hopkins University Press 2021