Sums of two squares in short intervals

2019/10/29 by Maynard, James
#11N35 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1910.13384

Abstract

We show that there are short intervals [x,x+y] containing ≫ y^1/10 numbers expressible as the sum of two squares, which is many more than the average when y=o( (logx)^5/9). We obtain similar results for sums of two squares in short arithmetic progressions.

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