Apery, irrationality proofs and dinner parties

Apery, irrationality proofs and dinner parties - Francis Brown

Francis Brown
Centre national de la recherche scientifique, Institut des Hautes √Čtudes Scientifiques
October 27, 2014
After introducing an elementary criterion for a real number to be irrational, I will discuss Apery's famous result proving the irrationality of \(\zeta(3)\). Then I will give an overview of subsequent results in this field, and finally propose a simple geometric interpretation based on a classical dinner party game. The talk is intended for a general mathematical audience.
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