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In 1944 he became editor of the American Journal of Mathematics . He published on analysis, number theory, differential equations and probability (with several joint papers with Norbert Wiener).
Wintner (along with Poincaré and George Birkhoff) placed celestial mechanics on a more sound mathematical basis. These innovators were more concerned with the underlying theory, less concerned with quantitatively accurate prediction of celestial body motion.
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