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Book Chapter

Sums of two squares in short intervals

Springer International Publishing, (2015), 253-273
DOI: 10.1007/978-3-319-22240-0_15
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Abstract

We show that there are short intervals [x, x + y] containing [y1/10 numbers expressible as the sum of two squares, which is many more than the average when y = o(log x)5/9). We obtain similar results for sums of two squares in short arithmetic progressions.

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APA

Maynard, J. (2015). Sums of two squares in short intervals. In Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday (pp. 253–273). Springer International Publishing. https://doi.org/10.1007/978-3-319-22240-0_15

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