The Matyszczuk Theory of Zeta–Divisor Coupling and Symmetric Criteria for the Riemann Hypothesis

This paper presents the Matyszczuk Theory of Zeta–Divisor Coupling as a new analytic approach to the Riemann Hypothesis. It studies the hybrid function Zₖ(s) = ζ(s) · σ₋ₛ(k), investigates its critical line symmetry, introduces the correction function Φₖ(s), and explores applications to L-functions. The observed zero distribution offers theoretical support for the Riemann Hypothesis.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-20
DOI
https://doi.org/10.5281/zenodo.15704326
Primary Topic
Flexible and Reconfigurable Manufacturing Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

The Matyszczuk Theory of Zeta–Divisor Coupling and Symmetric Criteria for the Riemann Hypothesis

Zenodo (CERN European Organization for Nuclear Research)
Flexible and Reconfigurable Manufacturing Systems
article

The Matyszczuk Theory of Zeta–Divisor Coupling and Symmetric Criteria for the Riemann Hypothesis

article en

Abstract

This paper presents the Matyszczuk Theory of Zeta–Divisor Coupling as a new analytic approach to the Riemann Hypothesis. It studies the hybrid function Zₖ(s) = ζ(s) · σ₋ₛ(k), investigates its critical line symmetry, introduces the correction function Φₖ(s), and explores applications to L-functions. The observed zero distribution offers theoretical support for the Riemann Hypothesis.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 46%
Flexible and Reconfigurable Manufacturing Systems
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The Matyszczuk Theory of Zeta–Divisor Coupling and Symmetric Criteria for the Riemann Hypothesis · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS