Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595366 | Journal of Number Theory | 2009 | 15 Pages |
Abstract
In this paper we study the fourth mean value of generalized quadratic Gauss sums, and get an interesting identity associated with Weil's estimate,∑a=2p−2∑b=1p−1(a2−b2p)(b2−1p)={10−2p,p≡1 (mod 4);2p−6,p≡3 (mod 4). By virtue of the identity, higher-order mean values of generalized quadratic Gauss sums are obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yuan He, Qunying Liao,