q-Apery Irrationality Proofs by q-WZ Pairs

Details q-Apery Irrationality Proofs by q-WZ Pairs q-Apery Irrationality Proofs by q-WZ Pairs

1998-04-24

arxiv.org/abs/math/9804122v1

Adv. Appl. Math. 20(1998), 275-283

Mathematics

Number Theory

9 pages. See also http://www.math.temple.edu/~zeilberg/mamarim/mamarimhtml/qapery.html

Scientific paper

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.

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