Linear independence measures for values of certain q-series

TL;DR

This paper establishes quantitative linear independence results for values of specific q-series, extending classical q-hypergeometric series, and refines previous estimates in the field.

Contribution

It provides new quantitative measures of linear independence for a broader class of q-series, advancing understanding beyond classical cases.

Findings

Quantitative linear independence results for q-series

Refined estimates improve previous bounds

Generalization to broader classes of q-hypergeometric series

Abstract

We prove, in a quantitative form, linear independence results for values of a certain class of q-series, which generalize classical q-hypergeometric series. These results refine our recent estimates.