Phase variation and angular momentum of the Riemann, and, Dirichlet Xi functions

TL;DR

This paper introduces a novel approach using angular momentum to establish new equivalences related to the Riemann Hypothesis and extends some known results from the Riemann zeta function to Dirichlet Xi functions.

Contribution

It applies the concept of angular momentum to derive new equivalence statements for the Riemann Hypothesis and generalizes existing results to Dirichlet Xi functions.

Findings

New RH equivalence statements derived

Generalization of known results to Dirichlet Xi functions

Potential insights into RH through angular momentum framework

Abstract

The concept of angular momentum is used to find new RH equivalence statements, and, generalize some known results from Riemann to Dirichlet primitive Xi functions