Inequality and Nyman-Beurling-Baez-Duarte criteria

TL;DR

This paper presents a proof of the Riemann hypothesis based on the Nyman-Beurling-Baez-Duarte criterion, demonstrating the existence of a sequence that approximates a constant vector in a weighted Hilbert space.

Contribution

It provides a novel proof of the Riemann hypothesis by establishing the existence of a solution to a system of inequalities related to the Nyman-Beurling-Baez-Duarte condition.

Findings

Existence of a solution to the inequality system

Construction of a sequence approximating the constant vector

Support for the Riemann hypothesis proof

Abstract

We proposed a proof of the Riemann hypothesis. The proof is based on the Nyman-Beurling-Baez-Duarte condition. By proving existence of the solution for a system of inequalities, we can show that there is a sequence, which act as the coefficient of Beurling's sequence, can approximate the constant vector in a weighted Hilbert space.