On the generalized exponential sums and their fourth power mean
type: Item
instance of: scholarly article
title: On the generalized exponential sums and their fourth power mean
author: Wencong Liu
author: Shushu Ning
published in: Open Mathematics
publication date: 2024-08-30T00:00:00Z
review text: The paper is devoted to the calculation of the sums \[ \frac{1}{p-1} \sum_{\chi \bmod p}\left|\sum_{a=1}^{p-1} \chi(a) e\left(\frac{a^2+a}{p}\right)\right|^4 \] and \[ \frac{1}{p-1} \sum_{\chi \bmod p}\left|\sum_{a=1}^{p-1} \chi(a) e\left(\frac{a^3}{p}\right)\right|^4, \] where \(p\) is an odd prime, \(e(y)= e^{2\pi iy}\) and \(\chi\) is a Dirichlet character modulo \(p\).
reviewed by: Alexey Ustinov
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 11L05
zbMATH DE Number: 7903507
zbMATH Keywords: exponential sums
zbMATH Keywords: Gauss sums
zbMATH Keywords: fourth power mean
MaRDI profile type: Publication
cites work: Q5074585
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DOI: 10.1515/MATH-2023-0187
description: scientific article; zbMATH DE number 7903507