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arXiv · 1509.04354

Estimates for Character Sums with Various Convolutions

Brandon Hanson
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Abstract

We provide estimates for sums of the form \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C}\chi(a+b+c)\right|\] and \[\left|\sum_{a\in A}\sum_{b\in B}\sum_{c\in C}\sum_{d\in D}\chi(a+b+cd)\right|\] when $A,B,C,D\subset \mathbb F_p$, the field with $p$ elements and $\chi$ is a non-trivial multiplicative character modulo $p$.

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Brandon Hanson. 2015-09-14. Estimates for Character Sums with Various Convolutions. https://arxiv.org/abs/1509.04354

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