%0 Journal Article %A Yulia Zhykharyeva %A Mykola Pratsiovytyi %T Expansions of numbers in positive L\"uroth series and their applications to metric, probabilistic and fractal theories of numbers %J Algebra and discrete mathematics %D 2012 %P 145-160 %V 14 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ADM_2012_14_1_a10/ %G en %F ADM_2012_14_1_a10