Estimates for Character Sums with Various Convolutions

2015/09/14 by Hanson, Brandon
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1509.04354

Abstract

We provide estimates for sums of the form |∑_{a∈ A}∑_{b∈ B}∑_{c∈ C}χ(a+b+c)| and |∑_{a∈ A}∑_{b∈ B}∑_{c∈ C}∑_{d∈ D}χ(a+b+cd)| when A,B,C,D⊂ \mathbb F_p, the field with p elements and χ is a non-trivial multiplicative character modulo p.

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