Mean values of multivariable multiplicative functions and applications to the average number of cyclic subgroups and multivariable averages associated with the LCM function

Autor:	Essouabri, D., Zavala, C. Salinas, Tóth, L.
Rok vydání:	2021
Předmět:	Mathematics - Number Theory 11N37 11M32 11M45 11M41
Druh dokumentu:	Working Paper
Popis:	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 ${\mathbb Z}_{m_1}\times\dots\times {\mathbb Z}_{m_n}$ and multivariable averages associated with the LCM function. Comment: 36 pages, to appear in Journal of Number Theory
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.10247 Zobrazit plný text záznamu View this record from Arxiv