Corpus ID: 16245207

On a linear form for Catalan's constant

@article{Krattenthaler2008OnAL,
  title={On a linear form for Catalan's constant},
  author={C. Krattenthaler and T. Rivoal},
  journal={arXiv: Number Theory},
  year={2008}
}
It is shown how Andrews' multidimensional extension of Watson's transformation between a very-well-poised $_8\phi_7$-series and a balanced $_4\phi_3$-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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