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The Princeton Companion to Mathematics by Imre Leader, June Barrow-Green, Timothy Gowers

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VI.79 John Edensor Littlewood

b. Rochester, England, 1885; d. Cambridge, England, 1977 Analysis; number theory; differential equations

Littlewood made important contributions to several different branches of analysis and analytic number theory, including Abelian and Tauberian theory, the RIEMANN ZETA FUNCTION [IV.2 §3], WARING’S PROBLEM, GOLDBACH’S CONJECTURE [V.27], harmonic analysis, probabilistic analysis, and nonlinear differential equations. He loved concrete problems such as the RIEMANN HYPOTHESIS [IV.2 §3]: he was arguably the best problem solver of his generation. Much of his work was done in collaboration with HARDY [VI.73]: the Hardy–Littlewood partnership dominated the mathematical scene in the United Kingdom for a third of a century. ...

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