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Hypergeometry inspired by irrationality questions

Posted in
Wadim Zudilin
University of Newcastle/MPI
Wed, 09/08/2017 - 14:15 - 15:15
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Diophantine approximations are normally designed for proving the irrationality and linear independence
of numbers.
In my talk, I am interested in a different aspect of rational diophantine approximations to concrete mathematical quantities (namely, to Catalan's constant, $\pi^2$ and $\log2$): the approximations are used as a source of (quite non-trivial!) hypergeometric identities.
The talk is based on joint work in progress with Christian Krattenthaler (Vienna).

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