Rational approximations of the exponential function at rational points
Number Theory
2016-09-23 v1
Abstract
We give explicit and asymptotic lower bounds for the quantity by studying a generalized continued fraction expansion of . In cases we improve existing results by extracting a large common factor from the numerators and the denominators of the convergents of that generalized continued fraction.
Cite
@article{arxiv.1609.07076,
title = {Rational approximations of the exponential function at rational points},
author = {Kalle Leppälä and Tapani Matala-aho and Topi Törmä},
journal= {arXiv preprint arXiv:1609.07076},
year = {2016}
}