AbstractFor m∈Z+ let F(m) be the set of numbers with an infinite continued fraction expansion where all partial quotients, except possibly the first, do not exceed m. In 1975, James Hlavka conjectured that F(6)+F(2)≠R. We shall disprove Hlavka's conjecture, showing that in fact F(5)±F(2)=R
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
AbstractFor any real number β>1, let ε(1,β)=(ε1(1),ε2(1),…,εn(1),…) be the infinite β-expansion of 1...
AbstractFor m∈Z+ let F(m) be the set of numbers with an infinite continued fraction expansion where ...
Let 1#<=#M<N be integers, and denote by CF(M, N) the set of all irrationals from [0, 1] whose ...
For any positive integer m let F(m) denote the set of numbers with all partial quotients (except pos...
AbstractGiven any infinite set B of positive integers b1<b2<⋯, let τ(B) denote the exponent of conve...
We display a number with a surprising continued fraction expansion and show that we may explain that...
AbstractIt is shown that there are algebraic integers, with degree greater than 2, having infinitely...
AbstractLet F be a finite field with q elements and let g be a polynomial in F[X] with positive degr...
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, hav...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some com...
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some com...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
AbstractFor any real number β>1, let ε(1,β)=(ε1(1),ε2(1),…,εn(1),…) be the infinite β-expansion of 1...
AbstractFor m∈Z+ let F(m) be the set of numbers with an infinite continued fraction expansion where ...
Let 1#<=#M<N be integers, and denote by CF(M, N) the set of all irrationals from [0, 1] whose ...
For any positive integer m let F(m) denote the set of numbers with all partial quotients (except pos...
AbstractGiven any infinite set B of positive integers b1<b2<⋯, let τ(B) denote the exponent of conve...
We display a number with a surprising continued fraction expansion and show that we may explain that...
AbstractIt is shown that there are algebraic integers, with degree greater than 2, having infinitely...
AbstractLet F be a finite field with q elements and let g be a polynomial in F[X] with positive degr...
In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, hav...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an a...
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some com...
In the present work, we investigate real numbers whose sequence of partial quotients enjoys some com...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
It is widely believed that the continued fraction expansion of every irrational algebraic number $\a...
AbstractFor any real number β>1, let ε(1,β)=(ε1(1),ε2(1),…,εn(1),…) be the infinite β-expansion of 1...
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