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http://dx.doi.org/10.4134/BKMS.2012.49.6.1327

AN IDENTITY ON THE 2m-TH POWER MEAN VALUE OF THE GENERALIZED GAUSS SUMS

Liu, Feng (School of Mathematical Sciences Nanjing Normal University)
Yang, Quan-Hui (School of Mathematical Sciences Nanjing Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1327-1334 More about this Journal

Abstract

In this paper, using analytic method and the properties of the Legendre's symbol, we prove an exact calculating formula on the $2m$ -th power mean value of the generalized quadratic Gauss sums for $m{\geq}2$ . This solves a conjecture of He and Zhang [On the 2k-th power mean value of the generalized quadratic Gauss sums, Bull. Korean Math. Soc. 48 (2011), no. 1, 9-15].

Keywords

2m-th power mean; exact calculating formula; generalized quadratic Gauss sums;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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