The Ingham Divisor Problem on the Set of Numbers without kth Powers期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

The Ingham Divisor Problem on the Set of Numbers without kth Powers

Authors:	Ikonnikova T K

Institution:	(1) Moscow Pedagogical State University, Russia

Abstract:	Suppose that k and l are integers such that $k \geqslant 2$ and $l \geqslant 2$ , M _k is a set of numbers without kth powers, and $\tau \left( n \right) = \sum {_{d\left\| n \right.} } 1$ . In this paper, we obtain asymptotic estimates of the sums $\sum {\tau \left( n \right)\tau \left( {n + 1} \right)}$ over $n \leqslant x,n \in M_k$

Keywords:	Ingham divisor problem multiplicative arithmetical function asymptotic relation
本文献已被 SpringerLink 等数据库收录！