PreprintCC BY-ND 4.0HAL
THE FRACTIONAL INVARIANCE ANALYSIS AND APPLICATIONS
Abstract
In this paper, we introduce and develop the analysis of \emph{fractional invariance} of arithmetic functions. This analysis is used to estimate the partial sums of arithmetic functions f:ℕ⟶ ℝ of the form ∑ substackn≤ x n∈ 𝔸f(n) for 𝔸⊆ ℕ. This analysis can be applied to a broad class of arithmetic functions.
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BibTeX
@misc{agama2026fractional,
title = {{THE FRACTIONAL INVARIANCE ANALYSIS AND APPLICATIONS}},
author = {Theophilus Agama},
howpublished = {HAL},
year = {2026},
month = oct,
url = {https://hal.science/hal-05777094v1},
note = {CC BY-ND 4.0},
}
RIS
TY - UNPB
TI - THE FRACTIONAL INVARIANCE ANALYSIS AND APPLICATIONS
AU - Theophilus Agama
PY - 2026
DA - 2026/10/04
PB - HAL
UR - https://hal.science/hal-05777094v1
AB - In this paper, we introduce and develop the analysis of \emph{fractional invariance} of arithmetic functions. This analysis is used to estimate the partial sums of arithmetic functions f:ℕ⟶ ℝ of the form ∑ _substackn≤ x n∈ 𝔸f(n) for 𝔸⊆ ℕ. This analysis can be applied to a broad class of arithmetic functions.
ER -