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Rademacher had a number of well known students, including George Andrews, Paul T. Bateman, Theodor Estermann and Emil Grosswald.
The second conjecture proven by Kauers, Koutschan and Zeilberger was the so-called q-TSPP conjecture, a product formula for the orbit generating function of totally symmetric plane partitions, which was formulated by George Andrews and David Robbins in the early 1980s.