Zeros of Complete Symmetric Polynomials over Finite Fields
作者机构:School of Mathematics and StatisticsMinnan Normal UniversityZhangzhou 363000China
出 版 物:《Journal of Systems Science & Complexity》 (系统科学与复杂性学报(英文版))
年 卷 期:2024年第37卷第4期
页 面:1772-1788页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:supported by the Natural Science Foundation of Fujian Province,China under Grant No.2022J02046 Fujian Key Laboratory of Granular Computing and Applications (Minnan Normal University) Institute of Meteorological Big Data-Digital Fujian and Fujian Key Laboratory of Data Science and Statistics
主 题:Complete symmetric polynomial finite field permutation polynomial value set
摘 要:Wan and Zhang(2021) obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields,and proposed a problem whether their bound can be *** this paper,the author improves Wan-Zhang s bound from three *** proposed results are based on the estimates related to the number of certain permutations and the value sets of non-permutation polynomials associated to the complete symmetric *** the author believes that there are still possibilities to improve the bounds and hence Wan-Zhang s bound.