Irrationality measures for certain $q$-mathematical constants

Peter Bundschuh; Wadim Zudilin

doi:10.7146/math.scand.a-15034

Irrationality measures for certain $q$-mathematical constants

Authors

Peter Bundschuh
Wadim Zudilin

DOI:

https://doi.org/10.7146/math.scand.a-15034

Abstract

We prove sharp irrationality measures for a $q$-analogue of $\pi$ and related $q$-series, and indicate open problems on linear and algebraic independence of the series that might be viewed as $q$-analogues of some classical mathematical constants.

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Published

2007-09-01

How to Cite

Bundschuh, P., & Zudilin, W. (2007). Irrationality measures for certain $q$-mathematical constants. MATHEMATICA SCANDINAVICA, 101(1), 104–122. https://doi.org/10.7146/math.scand.a-15034