In this paper, some special property of the Farey sequence is discussed. We prove in each term of the Farey sequence, the sum of elements in the denominator is two times of the sum of elements in the numerator. We also prove that the Farey sequence contains a palindrome structure
This thesis explores three main topics in the application of ergodic theory and dynamical systems to...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
The aim of the paper is to bring new combinatorial analytical properties of the Farey diagrams of or...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
AbstractWe prove some new results concerning the structure, the combinatorics and the arithmetics of...
Abstract This paper proves several novel formulas for the length of a Farey sequence of order n. The...
The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the f...
AbstractA function E(b,s) is defined on the set {sinN,binZ,(b,s)=1} implicitly, by a functional equa...
Farey sequences of irreducible fractions between 0 and 1 can be related to graph constructions known...
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...
AbstractFarey sequences of irreducible fractions between 0 and 1 can be related to graph constructio...
We examine the structure of Farey maps, a class of graph embeddings on surfaces that have received s...
The Farey sequences can be used to create the Euler totient function, by identifying the fractions f...
$ ( \rho_{1}=\frac{1}{[x]}, $ $\rho_{\Phi(X)-}1-\frac{1}{[x]}=1) $ , called the Farey series Introdu...
This thesis explores three main topics in the application of ergodic theory and dynamical systems to...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
The aim of the paper is to bring new combinatorial analytical properties of the Farey diagrams of or...
The Farey Sequence of order n is the sequence made up of all non-negative irreducible proper fractio...
AbstractWe prove some new results concerning the structure, the combinatorics and the arithmetics of...
Abstract This paper proves several novel formulas for the length of a Farey sequence of order n. The...
The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the f...
AbstractA function E(b,s) is defined on the set {sinN,binZ,(b,s)=1} implicitly, by a functional equa...
Farey sequences of irreducible fractions between 0 and 1 can be related to graph constructions known...
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...
AbstractFarey sequences of irreducible fractions between 0 and 1 can be related to graph constructio...
We examine the structure of Farey maps, a class of graph embeddings on surfaces that have received s...
The Farey sequences can be used to create the Euler totient function, by identifying the fractions f...
$ ( \rho_{1}=\frac{1}{[x]}, $ $\rho_{\Phi(X)-}1-\frac{1}{[x]}=1) $ , called the Farey series Introdu...
This thesis explores three main topics in the application of ergodic theory and dynamical systems to...
WOS: 000374193500003The purpose of this paper is to give the notion of Farey-Pell sequence. We inves...
The aim of the paper is to bring new combinatorial analytical properties of the Farey diagrams of or...
DOI
Add to ORKG