- John Edensor Littlewood
Infobox_Scientist

name = John Edensor Littlewood

imagesize = 150px

caption =

birth_date = birth date|1885|6|9|mf=y

birth_place = Rochester,Kent ,England

death_date = death date and age|1977|9|6|1885|6|9|mf=y

death_place =Cambridge ,England

residence =

nationality =

field =Mathematician

work_institution =University of Cambridge

alma_mater =University of Cambridge

doctoral_advisor =Ernest William Barnes

doctoral_students =Sarvadaman Chowla Harold Davenport Srinivasa Ramanujan Stanley Skewes Donald C. Spencer

known_for =Mathematical analysis

prizes =

religion =

footnotes =**John Edensor Littlewood**(9 June 1885 –6 September 1977 ) was a Britishmathematician , best known for his long collaboration withG. H. Hardy .**Life**Littlewood was born in Rochester in

Kent . He attended St Paul's School inLondon , where he was taught byF. S. Macaulay , now known for his contributions toideal theory . He studied atTrinity College, Cambridge and was theSenior Wrangler in theMathematical Tripos of 1905. He was elected a Fellow of Trinity College in 1908 and, apart from three years as Richardson Lecturer in the University of Manchester, his entire career was spent in theUniversity of Cambridge . He was appointedRouse Ball Professor of Mathematics in 1928, retiring in 1950. He was elected aFellow of the Royal Society in 1916, awarded theRoyal Medal in 1929, theSylvester Medal in 1943 and theCopley Medal in 1958. He was president of theLondon Mathematical Society from 1941 to 1943, and was awarded theDe Morgan Medal in 1938 and the Senior Berwick Prize in 1960.**Work**Most of his work was in the field of

mathematical analysis . He began research under the supervision ofErnest William Barnes , who suggested that he attempt to prove theRiemann hypothesis : Littlewood showed that if the Riemann hypothesis is true then thePrime Number Theorem follows and obtained the error term. This work won him his Trinity fellowship.He coined

Littlewood's law , 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, particularly in analytical areas of what would become the theory of

dynamical systems .He is also remembered for his book of reminiscences,

A Mathematician's Miscellany (new edition published in 1986).Among his own Ph. D. students were

Sarvadaman Chowla ,Harold Davenport andDonald C. Spencer .His collaborative work, carried out by correspondence, covered fields in

Diophantine approximation andWaring's problem , in particular. In his other work Littlewood collaborated withRaymond Paley in Fourier theory, and withCyril Offord in combinatorial work on random sums, in developments that opened up fields still intensively studied.He worked withMary Cartwright on problems indifferential equations arising out of early research onradar : their work foreshadowed the modern theory ofdynamical systems .Littlewood's inequality on bilinear forms was a forerunner of the laterGrothendieck tensor norm theory.**With Hardy**He collaborated for many years with

G. H. Hardy . Together they devised thefirst Hardy-Littlewood conjecture , a strong form of thetwin prime conjecture , and thesecond Hardy-Littlewood conjecture .In a 1947 lecture, the Danish mathematician

Harald Bohr said, "To illustrate to what extent Hardy and Littlewood in the course of the years came to be considered as the leaders of recent English mathematical research, I may report what an excellent colleague once jokingly said: 'Nowadays, there are only three really great English mathematicians: Hardy, Littlewood, and Hardy-Littlewood.'" [*cite book*] Rp|xxvii

last=Bohr

first=Harald

authorlink=Harald Bohr

title=Collected Mathematical Works

volume=1

year=1952

publisher=Dansk Matematisk Forening

location=Copenhagen

oclc=3172542

pages=xiii-xxxiv

chapter=Looking BackwardThere is a story that at a conference Littlewood met a German mathematician who said he was most interested to discover that Littlewood really existed, as he had always assumed that Littlewood was a name used by Hardy for lesser work which he did not want to put out under his own name; Littlewood apparently roared with laughter.Fact|date=September 2007

**ee also***

Hardy-Littlewood circle method

*Littlewood's conjecture

*Littlewood's problem

*Littlewood's three principles of real analysis

*Littlewood-Offord problem **Notes****External links***

*

* [*http://www.numbertheory.org/obituaries/LMS/littlewood/index.html Papers of Littlewood on Number Theory*]Persondata

NAME= Littlewood, John Edensor

ALTERNATIVE NAMES=

SHORT DESCRIPTION=Mathematician

DATE OF BIRTH=June 9 1885

PLACE OF BIRTH= Rochester,Kent ,England

DATE OF DEATH=September 6 1977

PLACE OF DEATH=Cambridge ,England

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**John Edensor Littlewood**— Nacimiento 9 de junio de 1885 Rochester, Kent, Reino Unido Fallecimiento 6 de septiembre de 1977 Cambridge, Reino Unido Residencia … Wikipedia Español**John Edensor Littlewood**— (Rochester (Kent), 9 juin 1885 – Cambridge, 6 septembre 1977) est un mathématicien anglais. Littlewood a fait ses études au Trinity College (Cambridge) et a été senior wrangler au Tripos de 1905. Il a surtout travaillé en analyse et en théorie… … Wikipédia en Français**John Edensor Littlewood**— (* 9. Juni 1885 in Rochester (Kent); † 6. September 1977 in Cambridge) war ein englischer Mathematiker, der vor allem in der Analysis arbeitete. Inhaltsverzeichnis 1 Leben und Wirken 2 Sonstiges 3 Ehrungen … Deutsch Wikipedia**Littlewood , John Edensor**— (1885–1977) British mathematician Born at Rochester, Littlewood studied at Cambridge University and in 1907 obtained a lectureship at Manchester. By 1910 he had returned to Cambridge where in 1928 he became Rouse Ball Professor of Mathematics. He … Scientists**Littlewood**— John Edensor Littlewood John Edensor Littlewood (9 juin 1885–6 septembre 1977) était un mathématicien anglais. Littlewood est né a Rochester dans le Kent. Il a fait ses études à Cambridge. Il a surtout travaillé en analyse. Il a commencé ses… … Wikipédia en Français**Littlewood**— is a surname, and may refer to* Barclay Littlewood, British entrepreneur * Dominic Littlewood, British television presenter and entrepreneur * Dudley E. Littlewood, British mathematician * Joan Littlewood, British actress and theatre director *… … Wikipedia**John Littlewood**— can refer to:*John Edensor Littlewood (1885 1977), British mathematician *John Littlewood (chess player) (born 1931), British chess player … Wikipedia**Littlewood's three principles of real analysis**— are heuristics of J. E. Littlewood to help teach the essentials of measure theory in mathematical analysis. The principlesLittlewood stated the principles in his 1944 Lectures on the Theory of Functions [cite book last=Littlewood first=J. E.… … Wikipedia**Littlewood**— ist der Familienname folgender Personen: Dudley Littlewood (1903–1979), englischer Mathematiker Joan Littlewood (1914–2002), britische Theater und Filmregisseurin John Edensor Littlewood (1885–1977), englischer Mathematiker … Deutsch Wikipedia**John William Strutt Rayleigh**— John W. Rayleigh Naissance 12 novembre 1842 Landford Grove (Essex) (Royaume Uni) Décès 30 juin 1919 Witham (Essex) (Royaume Uni) … Wikipédia en Français