Some hypergeometric integrals for linear forms in zeta values

TL;DR

This paper provides integral representations for approximation forms of zeta values, enhancing the understanding of their structure and potential for further analytical or numerical exploration.

Contribution

It introduces new integral representations for approximation forms in zeta values, building on previous constructions from earlier works.

Findings

Integral representations of zeta approximation forms are established.

These representations facilitate analysis of zeta values.

The work extends prior constructions with new integral formulas.

Abstract

We prove integral representations of the approximation forms in zeta values constructed in arXiv:1801.09895 and arXiv:1803.08905.