AbstractAn alternative proof of Shyr–Yu theorem is given. Some generalizations are also considered using fractional root decompositions and fractional exponents of words
AbstractLet S be a standard Sturmian word that is a fixed point of a non-trivial homomorphism. Assoc...
In this article, we utilize recent generalized fractional operators to establish some fractional ine...
In this paper, we prove that if $t_0, t_1, t_2, \dots$ is a lacunary sequence, namely, $t_{n+1}/t_n\...
AbstractAn alternative proof of Shyr–Yu theorem is given. Some generalizations are also considered u...
International audienceAn alternative proof of Shyr-Yu theorem is given. Some generalizations are als...
AbstractA partial word is a word that is a partial mapping into an alphabet. We prove a variant of F...
The recently confirmed Dejean’s conjecture about the threshold between avoidable and unavoidable pow...
Thue–Morse sequence has several extremal properties among all non-periodic sequences of the symbols ...
AbstractIt is known that the sequence 1,2,1,1,2,2,2,1,1,2,1,1,2,1,1,2,2,… of lengths of blocks of id...
AbstractSome observations on products of primitive words are discussed. By these results, alternativ...
In this thesis, we employ a variety of explicit approximations to tackle some problems in Diophantin...
AbstractIt is proved that (for every ε > 0) ∑n⩽T13 ∑n<Tn12 namb Bk({Tnm}) = O(T(a+b+1)3ϵ) (where {·}...
AbstractThe aim of this note is to point out some combinatorial applications of a lemma of Scarf, pr...
Here we present an interesting fractional means scalar inequality. It follows [2]
A Sturmian word is a map W: N → {0, 1} for which the set of {0, 1}-vectors Fn(W): = {(W (i),W (i+ 1)...
AbstractLet S be a standard Sturmian word that is a fixed point of a non-trivial homomorphism. Assoc...
In this article, we utilize recent generalized fractional operators to establish some fractional ine...
In this paper, we prove that if $t_0, t_1, t_2, \dots$ is a lacunary sequence, namely, $t_{n+1}/t_n\...
AbstractAn alternative proof of Shyr–Yu theorem is given. Some generalizations are also considered u...
International audienceAn alternative proof of Shyr-Yu theorem is given. Some generalizations are als...
AbstractA partial word is a word that is a partial mapping into an alphabet. We prove a variant of F...
The recently confirmed Dejean’s conjecture about the threshold between avoidable and unavoidable pow...
Thue–Morse sequence has several extremal properties among all non-periodic sequences of the symbols ...
AbstractIt is known that the sequence 1,2,1,1,2,2,2,1,1,2,1,1,2,1,1,2,2,… of lengths of blocks of id...
AbstractSome observations on products of primitive words are discussed. By these results, alternativ...
In this thesis, we employ a variety of explicit approximations to tackle some problems in Diophantin...
AbstractIt is proved that (for every ε > 0) ∑n⩽T13 ∑n<Tn12 namb Bk({Tnm}) = O(T(a+b+1)3ϵ) (where {·}...
AbstractThe aim of this note is to point out some combinatorial applications of a lemma of Scarf, pr...
Here we present an interesting fractional means scalar inequality. It follows [2]
A Sturmian word is a map W: N → {0, 1} for which the set of {0, 1}-vectors Fn(W): = {(W (i),W (i+ 1)...
AbstractLet S be a standard Sturmian word that is a fixed point of a non-trivial homomorphism. Assoc...
In this article, we utilize recent generalized fractional operators to establish some fractional ine...
In this paper, we prove that if $t_0, t_1, t_2, \dots$ is a lacunary sequence, namely, $t_{n+1}/t_n\...