On the distribution of multivariate Jacobi sums
文献类型：期刊论文
| 作者 | Lu, Qing4; Zheng, Weizhe1,2,3 |
| 刊名 | FINITE FIELDS AND THEIR APPLICATIONS
 |
| 出版日期 | 2021-08-01 |
| 卷号 | 73页码:7 |
| 关键词 | Equidistribution Jacobi sums Finite fields |
| ISSN号 | 1071-5797 |
| DOI | 10.1016/j.ffa.2021.101840 |
| 英文摘要 | Let F-q be a finite field of q elements. We show that the normalized Jacobi sum q(-(m-1)/2)J(chi(1), . . . , chi(m))(chi(1) . . . chi(m) nontrivial) is asymptotically equidistributed on the unit circle, when chi(1) is an element of A(1), . . . , chi(m) is an element of A(m) run through arbitrary sets of nontrivial multiplicative characters of F-q(x), if #A(1) >= q(1/2+is an element of) , #A(2) >= (logq)(1/delta-1) for epsilon > delta > 0 fixed and q -> infinity or if #A(1)#A(2)/q -> infinity. This extends previous results of Xi, Z. Zheng, and the authors. (C) 2021 Elsevier Inc. All rights reserved. |
| 资助项目 | Beijing Natural Science Foundation[1202014] ; Fundamental Research Funds for Central Universities of China ; China Scholarship Council ; National Natural Science Foundation of China[11822110] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11621061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000649262300017 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58650]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zheng, Weizhe |
| 作者单位 | 1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 4.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lu, Qing,Zheng, Weizhe. On the distribution of multivariate Jacobi sums[J]. FINITE FIELDS AND THEIR APPLICATIONS,2021,73:7. |
| APA | Lu, Qing,&Zheng, Weizhe.(2021).On the distribution of multivariate Jacobi sums.FINITE FIELDS AND THEIR APPLICATIONS,73,7. |
| MLA | Lu, Qing,et al."On the distribution of multivariate Jacobi sums".FINITE FIELDS AND THEIR APPLICATIONS 73(2021):7. |
入库方式： OAI收割
来源：数学与系统科学研究院
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