This material has been published in South East Asian J. Math. Math. Sci. 6 (No.2) (2008), 3-15, the only definitive repository of the content that has been certified and accepted after peer review. This material may not be copied or reposted without explicit permission.

Christian Krattenthaler and Tanguy Rivoal

On a linear form for Catalan's constant

(11 pages)

Abstract. It is shown how Andrews' multidimensional extension of Watson's transformation between a very-well-poised 8\phi7-series and a balanced 4\phi3-series can be used to give a straightforward proof of a conjecture of Zudilin and the second author on the arithmetic behaviour of the coefficients of certain linear forms of 1 and Catalan's constant. This proof is considerably simpler and more stream-lined than the first proof, due the second author.

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