q-Apery Irrationality Proofs by q-WZ Pairs
Number Theory
2007-05-23 v1 Combinatorics
Abstract
Using WZ forms, Apery-style proofs of the irrationality of the q-analogues of the Harmonic seires and Ln(2) are given. For the q-analogue of Ln(2), this method of proof produces an improved irrationality measure.
Keywords
Cite
@article{arxiv.math/9804122,
title = {q-Apery Irrationality Proofs by q-WZ Pairs},
author = {Tewodros Amdeberhan and Doron Zeilberger},
journal= {arXiv preprint arXiv:math/9804122},
year = {2007}
}
Comments
9 pages. See also http://www.math.temple.edu/~zeilberg/mamarim/mamarimhtml/qapery.html