Abstract. We investigate some properties connected with the alternating Lüroth-type se-ries representations for real numbers, in terms of the integer digits involved. In particular, we establish the analogous concept of the asymptotic density and the distribution of the maximum of the first n denominators, by applying appropriate limit theorems
We obtain an asymptotic formula for a weighted sum over cuspidal eigenvalues in a specific region, f...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
Abstract: In this work we study the limiting distribution of the maximum term of periodic integer-va...
THE aim of the present paper is to investigate the ergodic properties of the denominators dn in the ...
Graduation date: 1979By using continued fractions the set of positive\ud irrationals can be put in o...
AbstractAsymptotic formulas on the average values of the “sum of digits” function and the average nu...
Abstract. In a multi-base representation of an integer (in contrast to, for example, the binary or d...
Some remarks on the Erdős–Turán conjecture by Martin Helm (Mainz) Notation. In additive number the...
We investigate some properties connected with the alternating Sylvester series and alternating Engel...
Abstract. The generating series of a radix-rational sequence is a rational formal power series from ...
AbstractWe discuss an optimal method for the computation of linear combinations of elements of Abeli...
International audienceIn Fq, Dartyge and Sarkozy introduced the notion of digits and studied some pr...
AbstractBy using stochastic dependence with complete connections we obtain some asymptotic formulas ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
International audienceLet $\textbf{as}_n$ denote the length of a longest alternating subsequence in ...
We obtain an asymptotic formula for a weighted sum over cuspidal eigenvalues in a specific region, f...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
Abstract: In this work we study the limiting distribution of the maximum term of periodic integer-va...
THE aim of the present paper is to investigate the ergodic properties of the denominators dn in the ...
Graduation date: 1979By using continued fractions the set of positive\ud irrationals can be put in o...
AbstractAsymptotic formulas on the average values of the “sum of digits” function and the average nu...
Abstract. In a multi-base representation of an integer (in contrast to, for example, the binary or d...
Some remarks on the Erdős–Turán conjecture by Martin Helm (Mainz) Notation. In additive number the...
We investigate some properties connected with the alternating Sylvester series and alternating Engel...
Abstract. The generating series of a radix-rational sequence is a rational formal power series from ...
AbstractWe discuss an optimal method for the computation of linear combinations of elements of Abeli...
International audienceIn Fq, Dartyge and Sarkozy introduced the notion of digits and studied some pr...
AbstractBy using stochastic dependence with complete connections we obtain some asymptotic formulas ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
International audienceLet $\textbf{as}_n$ denote the length of a longest alternating subsequence in ...
We obtain an asymptotic formula for a weighted sum over cuspidal eigenvalues in a specific region, f...
AbstractA well-known theorem of Erdös and Fuchs states that we cannot have too good an asymptotic fo...
Abstract: In this work we study the limiting distribution of the maximum term of periodic integer-va...