# Mathematician:John Edensor Littlewood

From ProofWiki

(Redirected from Mathematician:J.E. Littlewood)

## Contents

## 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

- Critical Line Theorem
- Hardy-Littlewood Circle Method (with Godfrey Harold Hardy)
- Littlewood's Conjecture
- Littlewood's Problem
- Littlewood's Three Principles of Real Analysis
- Littlewood-Offord Problem (with Albert Cyril Offord)
- Hardy-Littlewood Tauberian Theorem (with Godfrey Harold Hardy)
- First Hardy-Littlewood Conjecture (with Godfrey Harold Hardy)
- Second Hardy-Littlewood Conjecture (with Godfrey Harold Hardy)
- Littlewood-Paley Theory (with Raymond Paley)
- Littlewood's Inequality on Bilinear Forms
- 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**: 1869 – 1872)

- 1923:
*Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes*(*Acta Math.***Vol. 44**: 1 – 70) (with G.H. Hardy)

- 1934:
*Inequalities*(with G.H. Hardy and G. Pólya) - 1963:
*A Mathematician's Miscellany*