Work

On the Structural Rank Function: A Corrected Approach

Year: 2025

Type: report

Abstract: This work introduces the structural rank function η(k), arising from a novel approach to divisor structure analysis in modular arithmetic. Unlike classical multiplicative functions, η(k) measures the "distance" between complementary divisors, providing new insights into the distribution of arithmetic functions. This package includes the corrected research article, experimental data for k ≤ 10^6, and complete Python implementation.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.17522578

Author: TABALEVICH, SIARHEI

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7104014363

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