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Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-08-23 , DOI: 10.1016/j.jnt.2021.07.027
Driss Essouabri 1 , Christoper Salinas Zavala 1 , László Tóth 2
Affiliation  

We use multiple zeta functions to prove, under suitable assumptions, precise asymptotic formulas for the averages of multivariable multiplicative functions. As applications, we prove some conjectures on the average number of cyclic subgroups of the group Zm1××Zmn and multivariable averages associated with the LCM function.



中文翻译:

多变量乘法函数的平均值以及循环子组的平均数和与 LCM 函数相关的多变量平均值的应用

在适当的假设下,我们使用多个 zeta 函数来证明多变量乘法函数平均值的精确渐近公式。作为应用,我们证明了关于群的平均循环子群数的一些猜想Z1××Zn和与 LCM 函数相关的多变量平均值。

更新日期:2021-08-23
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