IRRATIONALITY MEASURES FOR CERTAIN q-MATHEMATICAL CONSTANTS
نویسندگان
چکیده
We prove sharp irrationality measures for a q-analogue ofπ 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.
منابع مشابه
An essay on irrationality measures of π and other logarithms
produces ‘good’ rational approximations to log a. There are several ways of performing integration in (1) in order to show that the integral lies in Q log a+ Q; we give an exposition of different methods below. The aim of this essay is to demonstrate how suitable generalizations of the integrals in (1) allow to prove the best known results on irrationality measures of the numbers log 2, π and l...
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