On the Structural Rank Function: A Corrected Approach

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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-08
DOI
https://doi.org/10.5281/zenodo.17522578
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Structural Rank Function: A Corrected Approach

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

On the Structural Rank Function: A Corrected Approach

article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 29%
Analytic Number Theory Research
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On the Structural Rank Function: A Corrected Approach · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS