Orthogonality and Irrationality

Borwein, Peter and Dykshoorn, Willem and Erdelyi, Tamas and Zhang, John (1994) Orthogonality and Irrationality. [Preprint]

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Postscript
The fairly recent proofs of the irrationality of $\log 2, \pi^2, \zeta(3)$ and various values of polylogarithms are re-examined by using a particular family of orthogonal forms. This allows us to give a uniform and arguably more natural treatment of these results.