John Edensor Littlewood, 9 June 1885 - 6 September 1977

  title={John Edensor Littlewood, 9 June 1885 - 6 September 1977},
  author={John Charles Burkill},
  journal={Biographical Memoirs of Fellows of the Royal Society},
  pages={323 - 367}
  • J. C. Burkill
  • Published 1978
  • Mathematics
  • Biographical Memoirs of Fellows of the Royal Society
In 1900 pure mathematics in this country was at a low ebb. Since the days of Newton mathematics had come to be regarded as ancillary to natural philosophy. In the nineteenth century this attitude had been confirmed by the prestige of Stokes, Clerk Maxwell, Kelvin and others. On the continent the nineteenth century was as fruitful in pure mathematics as England was barren. The central property of functions of a complex variable was found by Cauchy, and further light was shed on the theory by… Expand
1 Citations
Mirrors and smoke: A. V. Hill, his Brigands, and the science of anti-aircraft gunnery in World War I
In 1916 Captain A. V. Hill was transferred from the infantry to the Ministry of Munitions to work on anti-aircraft gunnery. He determined the three-dimensional coordinates of flying objects byExpand


Forced oscillations in nonlinear systems
Barkley Rosser, Real roots of Dirichlet L-series, Bui. Am. Math. Soc. 55, 906 to 913 (1949). . Landau, Handbuch der Lehre von der Verteilung der Primzahlen, 1, Leipzig, Teubner, 1909. Chowla, Note onExpand
On a lemma of Littlewood and Offord
Remark. Choose Xi = l, n even. Then the interval ( — 1, + 1 ) contains Cn,m s u m s ^ i e ^ , which shows that our theorem is best possible. We clearly can assume that all the Xi are not less than 1.Expand
On the Riemann Zeta‐Function
As we've seen in a previous homework, the attempt to compute finite sums by inverting the difference operator inevitably led Jacob Bernoulli to consider the Taylor series of a curious function: z e zExpand
Some problems of diophantine approximation
Let 0 be an irrational number, and a any number between 0 and 1 (0 included). Then it is well known that it is possible to find a sequence of positive integers w<i, n2, n3, ... such that (nr0) —>a asExpand
On non-linear differential equations of the second order
1. The problem of automatic synchronization of triode oscillators was studied by Appleton† and van der Pol‡; it gives rise to the differential equation where α, γ, ω, E , ω 1 are positive constantsExpand
On lindelöfs hypothesis concerning the riemann zeta-function
1.1 The "hypothesis of Lindelof" concerning the Zeta-function ζ( s ) = ζ ( σ + it ) is expressed most simply by the equation ζ(1/2 + it ) = 0 (| t |) (A) for every positive e . It may also beExpand
Forced oscillations in nearly sinusoidal systems
A large class of radio circuits which are analytically equivalent to an oscillatory network in parallel with a non-linear negative resistance, are represented fairly accurately by the differentialExpand
The Lattice Points of a Circle
1. Let r (x) denote the number of ways in which the positive integer x can be expressed as the sum of two squares (positive, negative or zero), and let R( x ) = Σ0 ≤ n ≤ x r(x) = Σ0 ≤ p 2 + q 2 ≤ xExpand
Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring’s Problem and the value of the number G (k)
In this memoir we continue the investigations initiated in two earlier memoirs bearing a similar title, and complete the proof of all the assertions which they contain 1). We shall assume throughoutExpand