%0 Generic %1 citeulike:407968 %A Kesseböhmer, Marc %A Slassi, Mehdi %D 2005 %K continued distributional fraction law limit %T A distributional limit law for the continued fraction digit sum %U http://arxiv.org/abs/math.NT/0509559 %X We consider the continued fraction digits as random variables measured with respect to Lebesgue measure. The logarithmically scaled and normalized fluctuation process of the digit sums converges strongly distributional to a random variable uniformly distributed on the unit interval. For this process normalized linearly we determine a large deviation asymptotic.

@misc{citeulike:407968, abstract = {We consider the continued fraction digits as random variables measured with respect to Lebesgue measure. The logarithmically scaled and normalized fluctuation process of the digit sums converges strongly distributional to a random variable uniformly distributed on the unit interval. For this process normalized linearly we determine a large deviation asymptotic.}, added-at = {2007-08-18T13:22:24.000+0200}, author = {Kesseb{\"o}hmer, Marc and Slassi, Mehdi}, biburl = {https://www.bibsonomy.org/bibtex/2b6d9b5296f35ff6d724291faf0812773/a_olympia}, citeulike-article-id = {407968}, description = {citeulike}, eprint = {math.NT/0509559}, interhash = {69b62ee5045c1e4f8a56a969209bd78a}, intrahash = {b6d9b5296f35ff6d724291faf0812773}, keywords = {continued distributional fraction law limit}, month = Sep, priority = {2}, timestamp = {2007-08-18T13:22:38.000+0200}, title = {A distributional limit law for the continued fraction digit sum}, url = {http://arxiv.org/abs/math.NT/0509559}, year = 2005 }