Good variation theory: a tauberian approach to the Riemann Hypothesis

TL;DR

This paper introduces a new tauberian conjecture based on good variation theory, offering a simplified reformulation of the Riemann Hypothesis and its generalization, the Grand Riemann Hypothesis.

Contribution

It proposes the simplest and most effective tauberian reformulation of RH using good variation theory, applicable also to the Grand Riemann Hypothesis.

Findings

Proposes a new tauberian conjecture related to RH

Offers a reformulation that simplifies the understanding of RH

Extends the approach to the Grand Riemann Hypothesis

Abstract

In this short note I present a tauberian conjecture that I consider to be the simplest and the best tauberian reformulation of RH using good variation theory. The method applies also to the Grand Riemann Hypothesis.