A set of infinite measure whose ratio set does not contain a given sequence.
A short proof of a known density result.
A stopping time problem on the positive integers
A theorem of H. Steinhaus and -dense sets of positive integers
A Turán-Kubilius type inequality on sum sets
A two-dimensional univoque set
Let J ⊂ ℝ² be the set of couples (x,q) with q > 1 such that x has at least one representation of the form with integer coefficients satisfying , i ≥ 1. In this case we say that is an expansion of x in base q. Let U be the set of couples (x,q) ∈ J such that x has exactly one expansion in base q. In this paper we deduce some topological and combinatorial properties of the set U. We characterize the closure of U, and we determine its Hausdorff dimension. For (x,q) ∈ J, we also prove new properties...
A two-dimensional van Aardenne-Ehrenfest theorem in irregularities of distribution
A Wirsing-type approach to some continued fraction expansion.
Abschätzung der Hausdorffdimension für Mengen mit vorgeschriebenen Häufigkeiten der Ziffern.
Absolut konvergente Reihen und das Hausdorffsche Mass
Absolutely continuous distribution functions of additive functions
Actions of sets of integers on irrationals
Addendum to “On the problem”
Additive functions monotonic on the set of primes
Additive functions with respect to expansions over the set of Gaussian integers
Additive functions with restricted growth on the numbers of the form p+1
Adèles et séries trigonométriques spéciales
Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients
In this paper the Engel continued fraction (ECF) expansion of any is introduced. Basic and ergodic properties of this expansion are studied. Also the relation between the ECF and F. Ryde’s monotonen, nicht-abnehmenden Kettenbruch (MNK) is studied.
Algebraic independence of real numbers with low density of nonzero digits
Algebraic integers near the unit circle