Add to ORKGAny rational number can be written as the sum of distinct unit fractions. In this survey paper we review some of the many interesting questions concerning such 'Egyptian fraction' decompositions, and recent progress concerning them.Comment: 10 pages, survey article written for Nieuw Archief voor Wiskunde. Comments welcome
Let a, n be positive integers that are relatively prime. We say that a/n can be represented as an Eg...
AbstractLet A*k(n) be the number of positive integers a coprime to n such that the equation a/n=1/m1...
SummaryIn the ancient Egyptian and Greek arithmetical traditions, computations with fractions typica...
International audience; Let a a, n, be positive integers that are relatively prime. We say that a/n ...
Egyptian fractions are what we know as unit fractions that are of the form 1/n - with the exception,...
AbstractA fraction whose numerator is one is called a unit fraction. Unit fractions have been the so...
AbstractA rational number pq is said to be written in Egyptian form if it is presented as a sum of r...
In this paper we classify certain values of p that satisfy the Erdos-Straus conjecture, concerning t...
This note considers some aspects of finite sums of unit fractions, including associated recurrence r...
An increasing sequence $(x_i)_{i=1}^n$ of positive integers is an $n$-term Egyptian underapproximati...
It is well known that the ancient Egyptians represented each fraction as a sum of unit fractions -- ...
9 pagesEgyptian decompositions of 2/D as a sum of two unit fractions are studied by means of certain...
The ancient Egyptians used a number system based on unit fractions, i.e. fractions with one in the n...
Ancient Egyptians represented fractions as sums of inverses of natural numbers, and they made sure t...
Ancient Egyptians represented a fraction as a sum of inverses of natural numbers, with the smallest ...
Let a, n be positive integers that are relatively prime. We say that a/n can be represented as an Eg...
AbstractLet A*k(n) be the number of positive integers a coprime to n such that the equation a/n=1/m1...
SummaryIn the ancient Egyptian and Greek arithmetical traditions, computations with fractions typica...
International audience; Let a a, n, be positive integers that are relatively prime. We say that a/n ...
Egyptian fractions are what we know as unit fractions that are of the form 1/n - with the exception,...
AbstractA fraction whose numerator is one is called a unit fraction. Unit fractions have been the so...
AbstractA rational number pq is said to be written in Egyptian form if it is presented as a sum of r...
In this paper we classify certain values of p that satisfy the Erdos-Straus conjecture, concerning t...
This note considers some aspects of finite sums of unit fractions, including associated recurrence r...
An increasing sequence $(x_i)_{i=1}^n$ of positive integers is an $n$-term Egyptian underapproximati...
It is well known that the ancient Egyptians represented each fraction as a sum of unit fractions -- ...
9 pagesEgyptian decompositions of 2/D as a sum of two unit fractions are studied by means of certain...
The ancient Egyptians used a number system based on unit fractions, i.e. fractions with one in the n...
Ancient Egyptians represented fractions as sums of inverses of natural numbers, and they made sure t...
Ancient Egyptians represented a fraction as a sum of inverses of natural numbers, with the smallest ...
Let a, n be positive integers that are relatively prime. We say that a/n can be represented as an Eg...
AbstractLet A*k(n) be the number of positive integers a coprime to n such that the equation a/n=1/m1...
SummaryIn the ancient Egyptian and Greek arithmetical traditions, computations with fractions typica...