Irrationality measures for certain $q$-mathematical constants | Zendy

Peter Bundschuh | Zendy; Wadim Zudilin | Zendy

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Irrationality measures for certain $q$-mathematical constants

Author(s) -

Peter Bundschuh,

Wadim Zudilin

Publication year - 2007

Publication title -

mathematica scandinavica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.553

H-Index - 30

eISSN - 1903-1807

pISSN - 0025-5521

DOI - 10.7146/math.scand.a-15034

Subject(s) - irrationality , mathematics , series (stratigraphy) , algebraic number , independence (probability theory) , constant (computer programming) , pure mathematics , algebra over a field , rationality , mathematical analysis , statistics , epistemology , computer science , philosophy , paleontology , biology , programming language

We prove sharp irrationality measures for a q-analogue of π 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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