Investigation about a statement equivalent to Riemann Hypothesis (RH) applied to Dirichlet primitive L functions

TL;DR

This paper explores an equivalence related to the Riemann Hypothesis and applies it to Dirichlet L functions with primitive characters, aiming to contribute to the proof of the generalized RH.

Contribution

It extends a known equivalence from the Riemann Zeta function to Dirichlet L functions, offering a new perspective on the generalized RH.

Findings

Identifies an equivalence applicable to Dirichlet L functions

Provides insights that may aid in proving the generalized RH

Offers a small but meaningful contribution to RH research

Abstract

We try to apply a known equivalence, for RH about Riemann Z function, to Dirichlet L functions with primitive characters. The aim is to give a small contribution to the proof of the generalized version of Riemann Hypothesis (RH).