AbstractGalambos has conjectured that the logarithm of the geometric mean of partial denominators in a Lüroth representation of a number between zero and one is a constant. We here prove that this constant is ≈0.7884 and plays the same role as Khintchine's constant for usual continued fraction expansions
Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss–Kuzmin theorem...
This paper studies the limit behaviour of sums of the form Tn(x)=∑1≤j≤nckj(x),(n=1,2,…)where (cj(x))...
AbstractIn this paper we prove a number of sharp results on the permissible growth of derivatives of...
AbstractGalambos has conjectured that the logarithm of the geometric mean of partial denominators in...
AbstractThis paper is concerned with estimates for the constant in the logarithmic Sobolev inequalit...
AbstractLet σ be a signed measure on [−1,1], with total mass 0, and [a,b] ⊆ [−1,1]. We estimate |σ([...
AbstractLet Sn denote the partial sum of an i.i.d. sequence of centred random variables having a fin...
AbstractFor certain random variables X1,X2,… which can be expressed by means of the natural extensio...
AbstractLet ε = {εi, i ≥ 1} be a Rademacher sequence, with partial sums Sn = ε1 +… + εn, n ≥ 1. Let ...
We provide a framework for proofs of structural theorems about sets with positive Banach logarithmic...
AbstractA fundamental problem is to estimate the logarithmic coefficients of a power series with con...
AbstractWe introduce a new way of representing any real number in the unit interval as a sequence of...
Let be a real number. For a function , define to be the set of such that for infinitely many...
AbstractBy using stochastic dependence with complete connections we obtain some asymptotic formulas ...
Let $\chi$ be a real primitive character to the modulus $D$. It is proved that $$ L(1,\chi)\gg (\log...
Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss–Kuzmin theorem...
This paper studies the limit behaviour of sums of the form Tn(x)=∑1≤j≤nckj(x),(n=1,2,…)where (cj(x))...
AbstractIn this paper we prove a number of sharp results on the permissible growth of derivatives of...
AbstractGalambos has conjectured that the logarithm of the geometric mean of partial denominators in...
AbstractThis paper is concerned with estimates for the constant in the logarithmic Sobolev inequalit...
AbstractLet σ be a signed measure on [−1,1], with total mass 0, and [a,b] ⊆ [−1,1]. We estimate |σ([...
AbstractLet Sn denote the partial sum of an i.i.d. sequence of centred random variables having a fin...
AbstractFor certain random variables X1,X2,… which can be expressed by means of the natural extensio...
AbstractLet ε = {εi, i ≥ 1} be a Rademacher sequence, with partial sums Sn = ε1 +… + εn, n ≥ 1. Let ...
We provide a framework for proofs of structural theorems about sets with positive Banach logarithmic...
AbstractA fundamental problem is to estimate the logarithmic coefficients of a power series with con...
AbstractWe introduce a new way of representing any real number in the unit interval as a sequence of...
Let be a real number. For a function , define to be the set of such that for infinitely many...
AbstractBy using stochastic dependence with complete connections we obtain some asymptotic formulas ...
Let $\chi$ be a real primitive character to the modulus $D$. It is proved that $$ L(1,\chi)\gg (\log...
Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss–Kuzmin theorem...
This paper studies the limit behaviour of sums of the form Tn(x)=∑1≤j≤nckj(x),(n=1,2,…)where (cj(x))...
AbstractIn this paper we prove a number of sharp results on the permissible growth of derivatives of...
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