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math.NT2017
On convergence rate in the Gauss-Kuzmin problem for -expansions
Gabriela Ileana Sebe, Dan Lascu
After providing an overview of -expansions introduced by Chakraborty and Rao, we focus on the Gauss-Kuzmin problem for this new transformation. Actually, we complete our study o…
math.NT2017
A two-dimensional Gauss-Kuzmin theorem for -continued fraction expansions
Gabriela Ileana Sebe, Dan Lascu
A two-dimensional Gauss-Kuzmin theorem for -continued fraction expansions is shown. More exactly, we obtain a Gauss-Kuzmin theorem related to the natural extension of the measur…