This material has been published in
South East Asian J. Math. Math. Sci. 6 (No.2) (2008), 3-15,
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Christian Krattenthaler and
On a linear form for Catalan's constant
It is shown how Andrews' multidimensional extension
of Watson's transformation between
a very-well-poised 8\phi7-series and a balanced
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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