Title
On the distribution of multivariate Jacobi sums
Abstract
Let Fq be a finite field of q elements. We show that the normalized Jacobi sum q−(m−1)/2J(χ1,…,χm) (χ1⋯χm nontrivial) is asymptotically equidistributed on the unit circle, when χ1∈A1,…,χm∈Am run through arbitrary sets of nontrivial multiplicative characters of Fq×, if #A1≥q12+ϵ, #A2≥(log⁡q)1δ−1 for ϵ>δ>0 fixed and q→∞ or if #A1#A2/q→∞. This extends previous results of Xi, Z. Zheng, and the authors.
Year
DOI
Venue
2021
10.1016/j.ffa.2021.101840
Finite Fields and Their Applications
Keywords
DocType
Volume
primary,secondary
Journal
73
ISSN
Citations 
PageRank 
1071-5797
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Lu Qing100.34
Zheng Weizhe200.34