Zhang, Wenpeng On the fourth power mean of the general Kloosterman sums. (English) Zbl 1046.11055 Indian J. Pure Appl. Math. 35, No. 2, 237-242 (2004). Let \(p\) be an odd prime. For any fixed integer \(n\) coprime with \(p\) the author gives an exact calculating formula for the expression \[ \sum_{m=1}^p ~\left| ~\sum_{a=1}^{p-1} \, \chi(a) \, e^{2 \pi i \frac{ma+n \bar{a}}{p}} ~\right| ^4 ~~. \] Here, \(\chi\) denotes a Dirichlet character mod \(p\) and \(\bar{a}\) satisfies \(a \bar{a} \equiv 1\) mod \(p\) . Reviewer: Jürgen Hinz (Marburg) Cited in 1 ReviewCited in 18 Documents MSC: 11L05 Gauss and Kloosterman sums; generalizations PDFBibTeX XMLCite \textit{W. Zhang}, Indian J. Pure Appl. Math. 35, No. 2, 237--242 (2004; Zbl 1046.11055)