Diophantine properties of numbers related to Catalan's constant

@article{Rivoal2003DiophantinePO,
  title={Diophantine properties of numbers related to Catalan's constant},
  author={T. Rivoal and W. Zudilin},
  journal={Mathematische Annalen},
  year={2003},
  volume={326},
  pages={705-721}
}
1) as a linear form in 1 and even beta valuesonly. The following Lemma 2 is almost the same as the correspondingone in [BR] and we only include a sketch of the proof. We would like toemphasise the fact that it is essentially the well-poisedness of the series thatenables us to produce this parity-dependant behaviour when 
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