Authors: Theophilus Agama
In this note, we introduce and develop the analysis of the fractional invariance. This analysis is used for estimating the partial sums of arithmetic functions $f:mathbb{N}longrightarrow mathbb{R}$ of the form $sum limits_{substack{nleq xin mathbb{A}}}f(n)$ for $mathbb{A}subseteq mathbb{N}$. This analysis can be applied to a broad class of arithmetic functions.
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