A Spectral–Arithmetic Bridge Toward the Riemann Hypothesis

Garrido DE

doi:10.5281/zenodo.21447347

July 20, 2026Open Access

A Spectral–Arithmetic Bridge Toward the Riemann Hypothesis

View Full Paper

Ask AI

Bookmark

Share

Key Points

To establish a structured framework for understanding the zero distribution of the Riemann zeta function through a self-adjoint operator.
Introduced a self-adjoint operator and an admissible test-function class
Developed a regularization scheme with controlled convergence
Isolated a quadratic form from the explicit formula
Identified a conditional positivity principle linked to the zero distribution of the Riemann zeta function
Demonstrated potential connections to broader implications in number theory

Ask about this paper

Answers are grounded in this paper and cite their sources.

Implication

This manuscript presents a framework analyzing zero distribution in relation to the Riemann zeta function, suggesting significant implications for number theory.

Abstract

We present a structured framework centered on a self-adjoint operator, an admissible test-function class, and a regularization scheme with controlled convergence. The manuscript isolatesa quadratic form arising from the explicit formula and studies a conditional positivity principlerelated to the zero distribution of the Riemann zeta function.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Garrido DE (2026) studied this question.

synapsesocial.com/papers/6a605e1c4163e025518d7f77 https://doi.org/10.5281/zenodo.21447347

View Full Paper

Ask AI

Bookmark

Share

A Spectral–Arithmetic Bridge Toward the Riemann Hypothesis

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

A Spectral–Arithmetic Bridge Toward the Riemann Hypothesis

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading