切比雪夫多项式序列的分布  

On the Distribution of Chebyshev Polynomials Sequences

作　　者：张曦 李江华[1] 张哲 ZHANG Xi;LI Jiang-hua;ZHANG Zhe(College of Sciences,Xi'an University of Technology,Xi'an 710048,China)

机构地区：[1]西安理工大学理学院,陕西西安710048

出　　处：《数学的实践与认识》2022年第9期276-280,共5页Mathematics in Practice and Theory

基　　金：陕西省自然科学基金(2021JM-323,2022JM-017)。

摘　　要：切比雪夫多项式在各个领域都有广泛的研究,如:群论,密码学和偏微分方程等.主要利用指数和上界证明一类由切比雪夫多项式所生成序列的低差异性,从而说明其均匀分布性质.Chebyshev polynomials have been discussed in various fields,e.g.in group theory,cryptography and partial differential equations and so on.The main purpose of this paper is using exponential sums to prove the low discrepancy of the sequences which constructed by chebyshev polynomials,so as to illustrate their uniform distribution properties.

关 键 词：切比雪夫多项式 指数和 低差异序列 

分 类 号：O174.14[理学—数学]