Research note on a well posed integral used in Apery's proof for the irrationality of Z(3)

TL;DR

This paper evaluates specific integrals integral to Apéry's proof of the irrationality of zeta(3), providing insights into their properties and significance.

Contribution

It offers a detailed analysis of integrals used in Apéry's proof, clarifying their role and potential applications in number theory.

Findings

Integral evaluation clarifies key steps in Apéry's proof

Enhanced understanding of integrals related to zeta(3)

Potential implications for irrationality proofs of other constants

Abstract

In this note we evaluate multiple integrals that play a crucial role in the theory of irrationality of zeta function