On a linear form for Catalans constant


الملخص بالإنكليزية

It is shown how Andrews multidimensional extension of Watsons transformation between a very-well-poised $_8phi_7$-series and a balanced $_4phi_3$-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 Catalans constant. This proof is considerably simpler and more stream-lined than the first proof, due to the second author.

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