What question did this study set out to answer?

The aim is to provide a proof of the Riemann Hypothesis by showing that the Weil quadratic form associated with the Riemann zeta function is nonnegative.

July 5, 2026Open Access

A Proof of the Riemann Hypothesis by Positivity of the Completed Arithmetic Weil Kernel

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The aim is to provide a proof of the Riemann Hypothesis by showing that the Weil quadratic form associated with the Riemann zeta function is nonnegative.
Utilized positive spectral factorization for the completed arithmetic kernel.
Analyzed the properties of the Weil quadratic form in relation to the Riemann zeta function.
Established that the Weil quadratic form is nonnegative.
Concluded that this nonnegativity provides proof for the Riemann Hypothesis.

Implication

This proof demonstrates the nonnegativity of the Weil quadratic form for the Riemann zeta function, implying RH.

Abstract

This paper is a proof that the Weil quadratic form for the Riemann zeta function is nonnegative, via positive spectral factorization of the completed arithmetic kernel. This implies RH.

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Cite This Study

Simon Velez (2026) studied this question.

synapsesocial.com/papers/6a49f5d7f5d1d45b288007bd https://doi.org/10.5281/zenodo.21172964

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Implication

This proof demonstrates the nonnegativity of the Weil quadratic form for the Riemann zeta function, implying RH.

Abstract

This paper is a proof that the Weil quadratic form for the Riemann zeta function is nonnegative, via positive spectral factorization of the completed arithmetic kernel. This implies RH.

A Proof of the Riemann Hypothesis by Positivity of the Completed Arithmetic Weil Kernel

Key Points

Implication

Abstract

Discussion

Cite This Study

A Proof of the Riemann Hypothesis by Positivity of the Completed Arithmetic Weil Kernel

Key Points

Implication

Abstract

Discussion

Cite This Study

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