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
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“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] (18351910)