John Jay Gergen (St. Paul, Minnesota April 17, 1903 – Duke University Hospital 1967) was an American mathematician who introduced the Lebesgue–Gergen criterion for convergence of a Fourier series.He received a B.A. from the University of Minnesota in 1925 and a Ph.D. from Rice University in 1928. From 1928 to 1930, as a National Research fellow, he visited Princeton, Oxford, the University of Paris and the University of Clermont.
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