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arXiv · 2004.01885

Character sums estimates and an application to a problem of Balog

Tomasz Schoen·Ilya D. Shkredov
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Abstract

We prove new bounds for sums of multiplicative characters over sums of set with small doubling and applying this result we break the square--root barrier in a problem of Balog concerning products of differences in a field of prime order.

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Tomasz Schoen, Ilya D. Shkredov. 2020-04-04. Character sums estimates and an application to a problem of Balog. https://arxiv.org/abs/2004.01885

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