关于 Dirichlet 逆的渐近行为
数论
2020-07-10 v2
摘要
设 为算术函数且 ， 为其关于 Dirichlet 卷积的逆。我们研究 的渐近行为，参照 的渐近行为，并假设后者以至多多项式或指数速度增长或衰减。作为副产品，我们获得了 分解为 个因子的有序分解个数的简单而构造性的上界。
引用
@article{arxiv.1903.12445,
title = {On asymptotic behaviour of Dirichlet inverse},
author = {Falko Baustian and Vladimir Bobkov},
journal= {arXiv preprint arXiv:1903.12445},
year = {2020}
}
备注
16 pages. Section 3.1 has been slightly expanded. Minor improvements have been incorporated according to referee's suggestions. Accepted to International Journal of Number Theory