The study of combinatorial properties of mathematical objects is a very important research field and continued fractions have been deeply studied in this sense. However, multidimensional continued fractions, which are a generalization arising from an algorithm due to Jacobi, have been poorly investigated in this sense, up to now. In this paper, we propose a combinatorial interpretation of the convergents of multidimensional continued fractions in terms of counting some particular tilings, generalizing some results that hold for classical continued fractions
Title: Computational problems of elementary number theory Author: Mgr. Jiří Widž Department: Departm...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...
There are two main aims of this thesis. The first is to further develop and demonstrate applications...
AbstractWe show that the universal continued fraction of the Stieltjes-Jacobi type is equivalent to ...
AbstractWe show that the universal continued fraction of the Stieltjes-Jacobi type is equivalent to ...
There are two main aims of this thesis. The first is to further develop and demonstrate applications...
This paper is a short survey of the recent results on examples of periodic two-dimensional continued...
This paper is a short survey of the recent results on examples of periodic two-dimensional continued...
The study of arithmetical continued fractions has been restricted, for the most part, to the investi...
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...
A continued fraction is a way of representing a real number by a sequence of integers. We present a ...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
Title: Computational problems of elementary number theory Author: Mgr. Jiří Widž Department: Departm...
Title: Computational problems of elementary number theory Author: Mgr. Jiří Widž Department: Departm...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...
There are two main aims of this thesis. The first is to further develop and demonstrate applications...
AbstractWe show that the universal continued fraction of the Stieltjes-Jacobi type is equivalent to ...
AbstractWe show that the universal continued fraction of the Stieltjes-Jacobi type is equivalent to ...
There are two main aims of this thesis. The first is to further develop and demonstrate applications...
This paper is a short survey of the recent results on examples of periodic two-dimensional continued...
This paper is a short survey of the recent results on examples of periodic two-dimensional continued...
The study of arithmetical continued fractions has been restricted, for the most part, to the investi...
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...
A continued fraction is a way of representing a real number by a sequence of integers. We present a ...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
Title: Computational problems of elementary number theory Author: Mgr. Jiří Widž Department: Departm...
Title: Computational problems of elementary number theory Author: Mgr. Jiří Widž Department: Departm...
In this thesis we will deal with continued fractions, an expression which allow us to represent diff...
AbstractSeveral results on continued fractions expansions are on indirect consequences of the mirror...