The variance of the number of sums of two squares in Fq[T] in short intervals

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...

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Autors principals:	Gorodetsky, O, Rodgers, B
Format:	Journal article
Idioma:	English
Publicat:	Johns Hopkins University Press 2021

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