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arXiv · 0810.1927

On a linear form for Catalan's constant

Christian Krattenthaler·Tanguy Rivoal
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Abstract

It is shown how Andrews' multidimensional extension of Watson's transformation between a very-well-poised $_8ϕ_7$-series and a balanced $_4ϕ_3$-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 to the second author.

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Christian Krattenthaler, Tanguy Rivoal. 2008-10-10. On a linear form for Catalan's constant. https://arxiv.org/abs/0810.1927

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