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}
}
• Published 2008
• Mathematics
• arXiv: Number Theory
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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