Littlewood Conjecture

In mathematics, the Littlewood conjecture is an open problem (as of 2011) in Diophantine approximation, proposed by John Edensor Littlewood around 1930. It states that for any two real numbers α and β,

where is here the distance to the nearest integer.

Read more about Littlewood Conjecture:  Formulation and Explanation, Connection To Further Conjectures, Partial Results

Famous quotes containing the word conjecture:

    There is something fascinating about science. One gets such wholesale returns of conjecture out of such a trifling investment of fact.
    Mark Twain [Samuel Langhorne Clemens] (1835–1910)