可表为3个纯位数串联的Balancing数  

Balancing numbers which are concatenations of three repdigits

作　　者：朱山山 瞿云云 周建华 ZHU Shanshan;QU Yunyun;ZHOU Jianhua(School of Mathematical Sciences,Guizhou Normal University,Gui'an New Area 550025,Guizhou,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵安新区550025

出　　处：《山东大学学报（理学版）》2023年第6期25-30,共6页Journal of Shandong University(Natural Science)

基　　金：贵州省科学技术基金项目(黔科合基础-ZK[2021]一般313号);贵州师范大学学术新苗基金项目(黔师新苗[2021]B10号)。

摘　　要：利用代数数的对数线性形式以及Baker-Davenport约减方法证明了可表为3个纯位数串联的Balancing数仅有204和1189。It is proved that 204 and 1189 are the only Balancing numbers which are concatenations of three repdigits by using the linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction method.

关 键 词：Balancing数 对数线性形式 Baker-Davenport约减方法 纯位数 

分 类 号：O156[理学—数学]