An elementary approach to character sums over multiplicative subgroups

zbMATH Open1411.11131arXiv1401.4618MaRDI QIDQ2830356

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Publication date: 28 October 2016

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Abstract: Let $p$ be an odd prime. Using I. M. Vinogradov's bilinear estimate, we present an elementary approach to estimate nontrivially the character sum ${\displaystyle }$ sum_{xin H}chi(x+a),qquad ainBbb F_p^*, ${\displaystyle }$ where $H<Bbb{F}_p^{\ast }$ is a multiplicative subgroup in finite prime field $Bbb{F}_p$. Some interesting mean-value estimates are also provided.

Full work available at URL: https://arxiv.org/abs/1401.4618

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