Almost all of the nontrivial zeros of the Riemann zeta-function are on the critical line

TL;DR

This paper demonstrates that, based on Littlewood's lemma and the symmetry of the Riemann xi function, almost all nontrivial zeros of the Riemann zeta function lie on the critical line, supporting the Riemann Hypothesis.

Contribution

It introduces a novel approach combining Littlewood's lemma and xi function symmetry to show the density of zeros on the critical line.

Findings

Almost all nontrivial zeros are on the critical line

Supports the Riemann Hypothesis with a new method

Provides a density result for zeros on the critical line

Abstract

Applying Littlewood's lemma in connection to Riemann's Hypothesis and exploiting the symmetry of Riemann's $xi$ function we show that almost all nontrivial Riemann's Zeta zeros are on the critical line.