AbstractA generalization of Farey sequences for higher dimensions is considered, and numerical results obtained via the computer for quadratic Farey sequences are presented
AbstractFarey sequences of irreducible fractions between 0 and 1 can be related to graph constructio...
The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the f...
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence...
AbstractA generalization of Farey sequences to quadratic irrational numbers is given, for which the ...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
Abstract This paper proves several novel formulas for the length of a Farey sequence of order n. The...
AbstractThe linear action of SL(n, ℤ+) induces lattice partitions on the (n − 1)-dimensional simplex...
Abstract: Farey sequence has been a topic of interest to the mathematicians since the very beginning...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
Farey sequences, introduced by such renowned mathematicians as John Farey, Charles Haros, and August...
Linear recursion, think Fibonacci numbers, can be thought of as recursion along a line. Farey recurs...
This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Line...
The aim of the paper is to bring new combinatorial analytical properties of the Farey diagrams of or...
Farey sequences of irreducible fractions between 0 and 1 can be related to graph constructions known...
Abstract. We generalize classical results on the gap distribution (and other fine-scale statistics) ...
AbstractFarey sequences of irreducible fractions between 0 and 1 can be related to graph constructio...
The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the f...
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence...
AbstractA generalization of Farey sequences to quadratic irrational numbers is given, for which the ...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
Abstract This paper proves several novel formulas for the length of a Farey sequence of order n. The...
AbstractThe linear action of SL(n, ℤ+) induces lattice partitions on the (n − 1)-dimensional simplex...
Abstract: Farey sequence has been a topic of interest to the mathematicians since the very beginning...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
Farey sequences, introduced by such renowned mathematicians as John Farey, Charles Haros, and August...
Linear recursion, think Fibonacci numbers, can be thought of as recursion along a line. Farey recurs...
This thesis introduces the concept of using Farey Sequence in obtaining particular solutions of Line...
The aim of the paper is to bring new combinatorial analytical properties of the Farey diagrams of or...
Farey sequences of irreducible fractions between 0 and 1 can be related to graph constructions known...
Abstract. We generalize classical results on the gap distribution (and other fine-scale statistics) ...
AbstractFarey sequences of irreducible fractions between 0 and 1 can be related to graph constructio...
The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the f...
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence...