Abstract | ||
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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≥(logq)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 |
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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 Qing | 1 | 0 | 0.34 |
Zheng Weizhe | 2 | 0 | 0.34 |