Article
Le´ Vy Constants of Quadratic Irrationalities
Authors
Abstract
An irrational number α is said to have L´evy constant β(α) if the limit 1 lim log qm(α) =: β(α) m→∞ m exists where qm(α) denotes the denominator of the mth convergent of α. We give a new proof of the fact that the L´evy constants of quadratic irrationalities are√dense in the interval log 1+ 5 , +∞ . 2
Keywords
Continued fraction, convergent, quadratic irrational.
Citation
Baxa, C. (2008). Le´ vy constants of quadratic irrationalities. Uniform Distribution Theory, 3(2), 147–155.
C. Baxa, “Le´ vy constants of quadratic irrationalities,” Uniform Distribution Theory, vol. 3, no. 2, pp. 147–155, 2008.
Baxa C. Le´ vy constants of quadratic irrationalities. Uniform Distribution Theory. 2008;3(2):147–155.
Baxa, C. (2008), ‘Le´ vy constants of quadratic irrationalities’, Uniform Distribution Theory, 3(2), pp. 147–155.
Baxa, Christoph. “Le´ Vy Constants of Quadratic Irrationalities.” Uniform Distribution Theory, vol. 3, no. 2, 2008, pp. 147–155.
Baxa, Christoph. “Le´ Vy Constants of Quadratic Irrationalities.” Uniform Distribution Theory 3, no. 2 (2008): 147–155.
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Published by: Engineering Journals
