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John Edensor Littlewood ( June 9 1885 - September 6 1977) was a British mathematician.Littlewood was born in Rochester in Kent, and studied at Cambridge University. Most of his work was in the field of mathematical analysis.
He collaborated for many years with G. H. Hardy, and together they devised the first Hardy-Littlewood conjecture, a strong form of the twin prime conjecture, and the second Hardy-Littlewood conjecture.
His collaborative work, carried out by correspondence, covered fields in Diophantine approximation and Waring's problem, in particular. In his other work Littlewood collaborated with Paley in Fourier theoryThe Fourier transform named for Jean Baptiste Joseph Fourier, is an integral transform that re-expresses a function in terms of sinusoidal basis functions, i. as a sum or integral of sinusoidal functions multiplied by some coefficients ("amplitudes")., and with Offord in combinatorial work on random sums, in developments that opened up fields still intensively studied. Littlewood's inequality on bilinear forms was a forerunner of the later Grothendieck tensor norm theory.
He coined Littlewood's lawProbability theory Littlewood's Law states that individuals can expect a miracle to happen to them at the rate of about one per month. The law was framed by Cambridge University Professor J. Littlewood, and published in a collection of his work, A Mathema, which states that individuals can expect miracles to happen to them, at the rate of about one per month.
He continued to write papers into his eighties, in analytical areas in what became the theory of dynamical systems, in particular.
Littlewood, John Edensor
Littlewood, John Edensor
Littlewood, John Edensor
