In mathematics Lévy's constant (sometimes known as the Khinchin-Lévy constant) occurs in an expression for the asymptotic behaviour of the denominators of the convergents of continued fractions. In 1936 French mathematician Paul Lévy showed that the denominators q_n of the convergents of the continued fraction expansions of almost all real numbers satisfy Mathematics, often abbreviated maths in Commonwealth English and math in American English, is the study of abstraction. ... In mathematics and applications, particularly the analysis of algorithms, asymptotic analysis is a method of classifying limiting behaviour, by concentrating on some trend. ... In mathematics, a continued fraction is an expression such as where a0 is some integer and all the other numbers an are positive integers. ... 1936 was a leap year starting on Wednesday (link will take you to calendar). ... A mathematician is a person whose area of study and research is mathematics. ... Paul Pierre Lévy (September 15, 1886 - December 15, 1971) was a French mathematician who was active especially in probability theory, introduced martingales and Lévy flights. ... In mathematics, the phrase almost all has a number of specialised uses. ...

Lévy's constant is the constant on the right hand side of this expression, and is approximately equal to 3.275 822 918 7... The term is also sometimes used to refer to the logarithm of the right hand side of this expression, which is approximately equal to 1.186 569 110 4...

See also

• Khinchin's constant

In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x, the infinitely many terms ai of the continued fraction expansion of x have an astonishing property: their geometric mean is a constant, known as Khinchins constant, which is independent of the value of x. ...

External link

• Lévy's constant at MathWorld (http://mathworld.wolfram.com/Khinchin-LevyConstant.html)