# Remarks on irrationality of q-harmonic series

@article{Zudilin2002RemarksOI,
title={Remarks on irrationality of q-harmonic series},
author={W. Zudilin},
journal={manuscripta mathematica},
year={2002},
volume={107},
pages={463-477}
}
• W. Zudilin
• Published 2002
• Mathematics
• manuscripta mathematica
Abstract. We sharpen the known irrationality measures for the quantities , where z ? {±1} and p ?ℤ \ {0, ±1}. Our construction of auxiliary linear forms gives a q-analogue of the approach recently applied to irrationality problems for the values of the Riemann zeta function at positive integers. We also present a method for improving estimates of the irrationality measures of q-series.

#### References

SHOWING 1-10 OF 11 REFERENCES