A Proof of the Riemann Hypothesis

This paper proves that any superabundant counterexample to Robin’s inequality must be bounded above by a constant.If all superabundant counterexamples are bounded above, there must be afinite amount of them.Guy Robin proved that if Robin’s inequality is false, there must be infinitelymany superabundant counterexamples. Thus, Robin’s inequality is true.Guy Robin also proved if Robin’s inequality is true, the Riemann Hypothesisis true.Thus, the Riemann Hypothesis is true.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-26
DOI
https://doi.org/10.5281/zenodo.21614156
Primary Topic
Mathematics and Applications
Type
preprint
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preprint

A Proof of the Riemann Hypothesis

Matthew LaSelle
Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

A Proof of the Riemann Hypothesis

Matthew LaSelle
preprint en

Abstract

This paper proves that any superabundant counterexample to Robin’s inequality must be bounded above by a constant.If all superabundant counterexamples are bounded above, there must be afinite amount of them.Guy Robin proved that if Robin’s inequality is false, there must be infinitelymany superabundant counterexamples. Thus, Robin’s inequality is true.Guy Robin also proved if Robin’s inequality is true, the Riemann Hypothesisis true.Thus, the Riemann Hypothesis is true.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Mathematics and Applications
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A Proof of the Riemann Hypothesis — Matthew LaSelle · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS