Editing Littlewood conjecture (section)

{{Short description|Mathematical problem}}
In [[mathematics]], the '''Littlewood conjecture''' is an [[open problem]] ({{As of|April 2024|lc=on}}) in [[Diophantine approximation]], proposed by [[John Edensor Littlewood]] around 1930. It states that for any two [[real number]]s α and β,

:<math>\liminf_{n\to\infty} \ n\,\Vert n\alpha\Vert \,\Vert n\beta\Vert = 0,</math>

where <math>\Vert x\Vert:=\min(|x-\lfloor x \rfloor|,|x-\lceil x \rceil|)</math> is the distance to the nearest integer.