On a linear form for Catalan's constant

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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.
12 pages, AmS-LaTeX

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Number Theory, Classical Analysis and ODEs, 11J72 (Primary); 11J82, 33C20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/171244

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1927
 http://arxiv.org/abs/0810.1927
 South East Asian J. Math. Math. Sci. 6 (No.2) (2008), 3-15

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arXiv