On the zeros of the zeta function and eigenvalue problems

TL;DR

This paper claims to prove the Riemann Hypothesis by linking the non-trivial zeros of the zeta function to an eigenvalue problem in differential equations, offering a novel approach to a longstanding mathematical conjecture.

Contribution

It introduces a new connection between the zeros of the zeta function and Sturm-Liouville eigenvalue problems, aiming to prove the Riemann Hypothesis.

Findings

Proof of the Riemann Hypothesis based on eigenvalue problem

Establishment of a link between zeta zeros and differential operators

Potential new methods for analyzing zeta function zeros

Abstract

In this paper we provide a proof of the Riemann Hypothesis by relating the non-trivial zeros of the zeta function to a certain Sturm-Liouville eigenvalue problem on a finite interval.