Christian Krattenthaler and
Wadim Zudilin
Hypergeometry inspired by irrationality questions
(14 pages)
English Abstract.
We report new hypergeometric constructions of rational approximations to Catalan's constant, log 2, and π2,
their connection with already known ones, and underlying `permutation group' structures.
Our principal arithmetic achievement is a new partial irrationality result for the values of Riemann's zeta function at odd integers.
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