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

Issue

Vol. 101 No. 1 (2007)

Section

Articles

How to Cite

[1]
P. Bundschuh and W. Zudilin, “Irrationality measures for certain $q$-mathematical constants”, Math. Scand., vol. 101, no. 1, pp. 104–122, Sep. 2007, doi: 10.7146/math.scand.a-15034.