A way to prove the irrationality of Zeta(4)

TL;DR

This paper proposes a new approach to prove the irrationality of Zeta(4), inspired by methods used for Zeta(3), addressing a long-standing mathematical question.

Contribution

It introduces a novel method inspired by Zeta(3) proofs to investigate the irrationality of Zeta(4), which has not been established yet.

Findings

Proposes a new approach for Zeta(4) irrationality

Suggests parallels with Zeta(3) proof techniques

Provides a framework for future proofs

Abstract

The proof of the irrationality of Zeta(5) is a long standing open problem, but here only the case of Zeta(4) = (Pi^4)/90 is considered. The present paper suggests an approach for the irrationality of Zeta(4) along the lines of those known for proving the irrationality of Zeta(3).