Sums of two squares in short intervals

<i>Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday.</i> <br/>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)y=o((log⁡x)5/9). We obtain simil...

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Bibliographic Details
Main Author: Maynard, J
Format: Book section
Published: Springer International Publishing 2015