# A Sequence of Cauchy Sequences Which Is Conjectured to Converge to the Imaginary Parts of the Zeros of the Riemann Zeta Function

## TL;DR

This paper discusses a conjectured sequence of Cauchy sequences whose convergence could potentially prove the Riemann hypothesis through a specific transcendental equation criterion.

## Contribution

It introduces a new sequence of Cauchy sequences conjectured to converge to the imaginary parts of the zeros of the Riemann zeta function, linking to the Riemann hypothesis.

## Key findings

- Conjecture of convergence of the sequence.
- Potential proof of the Riemann hypothesis if convergence is established.
- Connection to LeClair and França's transcendental equation criteria.

## Abstract

The convergence of a sequence of Cauchy sequences is conjectured; which if shown to be true, would prove the Riemann hypothesis by way of LeClair and Fran\c{c}a's transcendental equation criteria.