On approximation measures of $q$-exponential function
Number Theory
2015-08-18 v1
Abstract
We shall present effective approximations measures for certain infinite products related to -exponential function. There are two main targets. First we shall prove an explicit irrationality measure result for the values of -exponential function at rational points. Then, if we restrict the approximations to rational numbers of the shape , we may replace Bundschuh's irrationality exponent by .
Keywords
Cite
@article{arxiv.1412.4115,
title = {On approximation measures of $q$-exponential function},
author = {Leena Leinonen and Marko Leinonen and Tapani Matala-aho},
journal= {arXiv preprint arXiv:1412.4115},
year = {2015}
}