一个由q-Saalschütz恒等式导出的同余式  

A Congruence Derived from the q-Saalschütz Identity

作　　者：章安妮 刘静[1] ZHANG Anni;LIU Jing(College of Mathematics and Physics,Wenzhou University,Wenzhou 325035,Zhejiang)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《丽水学院学报》2025年第2期23-26,共4页Journal of Lishui University

摘　　要：利用q-Saalschütz求和恒等式研究q-级数与分圆多项式间的整除性,即对任意正整奇数n,级数Σk=0^((n-1)/2)(q;q^(2))_(k)/(q^(2);q^(2))_(k) q^(-k)与分圆多项式二次方的同余关系。In this paper,we utilize the q-Saalschütz sum identity to study divisibility between q-series and cyclotomic polynomials,that is,the congruence relation betweenΣk=0^((n-1)/2)(q;q^(2))_(k)/(q^(2);q^(2))_(k) q^(-k) series and the square of a cyclotomic polynomial for any positive odd number n.

关 键 词：q-同余式 Q-模拟 分圆多项式 

分 类 号：O156.1[理学—数学]