- Journal Article
Let x be a quadratic irrational and let P be the set of prime numbers. We show the existence of an infinite set S⊂P such that the statistics of the period of the continued fraction expansions along the sequence px:p∈S approach the ‘normal’ statistics given by the Gauss–Kuzmin measure. Under the generalized Riemann hypothesis, we prove that there exist full density subsets S⊂P and T⊂N satisfying the same assertion. We give a rate of convergence in all cases. © 2019 Elsevier GmbH Show more
Journal / seriesExpositiones Mathematicae
Pages / Article No.
SubjectContinued fractions; Diophantine approximation
Organisational unit03826 - Einsiedler, Manfred L. / Einsiedler, Manfred L.
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