The Riemann Hypothesis - A Terminal Disproof

This paper, "Riemann Hypothesis - A Terminal Disproof via Proportional Logic" by C.R. Kunferman, argues that the Riemann Hypothesis contains a fundamental contradiction related to proportional arithmetic. The author asserts that any mathematical system defining a value at "half" must result in a whole value when doubled (e.g., a(1/2) * 2 = a). The paper claims that the Riemann Hypothesis, specifically with ζ(1/2), fails this basic principle, as ζ(1/2 * 2) does not equal ζ(1) within the hypothesis. The author concludes that this discrepancy is a "clear symbolic disproof" and a "failure in scalar integrity," though acknowledges that the hypothesis has inspired many discoveries despite its purported lack of factual proof.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-31
DOI
https://doi.org/10.5281/zenodo.17011926
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

The Riemann Hypothesis - A Terminal Disproof

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

The Riemann Hypothesis - A Terminal Disproof

article en

Abstract

This paper, "Riemann Hypothesis - A Terminal Disproof via Proportional Logic" by C.R. Kunferman, argues that the Riemann Hypothesis contains a fundamental contradiction related to proportional arithmetic. The author asserts that any mathematical system defining a value at "half" must result in a whole value when doubled (e.g., a(1/2) * 2 = a). The paper claims that the Riemann Hypothesis, specifically with ζ(1/2), fails this basic principle, as ζ(1/2 * 2) does not equal ζ(1) within the hypothesis. The author concludes that this discrepancy is a "clear symbolic disproof" and a "failure in scalar integrity," though acknowledges that the hypothesis has inspired many discoveries despite its purported lack of factual proof.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 58%
Geochemistry and Geologic Mapping
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The Riemann Hypothesis - A Terminal Disproof · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS