Mathematician:John Edensor Littlewood
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Mathematician
British mathematician best known for his collaborations with Godfrey Harold Hardy.
Nationality
British
History
- Born: 9 June 1885, Rochester, Kent, England
- Died: 6 Sept 1977, Cambridge, Cambridgeshire, England
Theorems and Definitions
- Littlewood's Conjecture
- Littlewood's Inequality on Bilinear Forms
- Littlewood's Problem
- Littlewood's Three Principles of Real Analysis
- Littlewood-Offord Problem (with Albert Cyril Offord)
- Littlewood-Paley Theory (with Raymond Paley)
- Hardy-Littlewood Circle Method (with Godfrey Harold Hardy)
- Hardy-Littlewood Maximal Inequality (with Godfrey Harold Hardy)
- Hardy-Littlewood Tauberian Theorem (with Godfrey Harold Hardy)
- First Hardy-Littlewood Conjecture (with Godfrey Harold Hardy)
- Second Hardy-Littlewood Conjecture (with Godfrey Harold Hardy)
- Fifth Hardy-Littlewood Conjecture (with Godfrey Harold Hardy)
- Critical Line Theorem
- Sign of Difference between Prime-Counting Function and Eulerian Logarithmic Integral Changes Infinitely Often
Results named for John Edensor Littlewood can be found here.
Publications
- 1914: Sur la distribution des nombres premiers (C.R. Acad. Sci. Vol. 158: pp. 1869 – 1872)
- 1921: The zeros of Riemann's zeta-function on the critical line (Math. Z. Vol. 10: pp. 3 – 4) (with G.H. Hardy)
- 1923: Some problems of 'Partitio numerorum'; III: On the expression of a number as a sum of primes (Acta Math. Vol. 44: pp. 1 – 70) (with G.H. Hardy)
- 1934: Inequalities (with G.H. Hardy and G. Pólya)
- 1963: A Mathematician's Miscellany
Sources
- John J. O'Connor and Edmund F. Robertson: "John Edensor Littlewood": MacTutor History of Mathematics archive
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Littlewood, John Edensor (1885-1977)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Littlewood, John Edensor (1885-1977)
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Littlewood, John Edensor (1885-1977)