We prove upper and lower bound for the average value over primes p of the number of positive integers a such that the fraction a / p can be written as the sum of three unit fractions
AbstractFor given positive integers n and a, let R(n;a) denote the number of positive integer soluti...
AbstractLet k>2 be a fixed integer exponent and let θ>9/10. We show that a positive integer N can be...
In ancient Egypt, fractions were represented as the sum of inverses to natural numbers. Processing f...
Let a, n be positive integers that are relatively prime. We say that a/n can be represented as an Eg...
International audience; Let a a, n, be positive integers that are relatively prime. We say that a/n ...
Rational fractions can often be expressed as the sum of three unit fractions and, generally, such a ...
AbstractLet A*k(n) be the number of positive integers a coprime to n such that the equation a/n=1/m1...
An Egyptian fraction is the sum of unit fractions , usually distinct. For example, the Egyptian frac...
Let A k (n) be the number of positive integers a coprime to n such that the equation a=n = 1=m 1...
We continue our work on averages for ternary additive problems with powers of prime numbers in Langu...
AbstractWe discuss the problem of representing a natural number n as a sum of certain of its distinc...
AbstractLet D(a,N) = min{nk:aN = Σ1k1ni, n1 < n2 < … < nk, ni ϵ Z0}, where the minimum ranges over a...
The ancient Egyptians used a number system based on unit fractions, i.e. fractions with one in the n...
Let k > 2 be a fixed integer exponent and let θ > 9 / 10. We show that a positive integer N can be r...
Paul Erdös and Ernst G. Straus conjectured in the late 1940s: Given a natural number n greather or e...
AbstractFor given positive integers n and a, let R(n;a) denote the number of positive integer soluti...
AbstractLet k>2 be a fixed integer exponent and let θ>9/10. We show that a positive integer N can be...
In ancient Egypt, fractions were represented as the sum of inverses to natural numbers. Processing f...
Let a, n be positive integers that are relatively prime. We say that a/n can be represented as an Eg...
International audience; Let a a, n, be positive integers that are relatively prime. We say that a/n ...
Rational fractions can often be expressed as the sum of three unit fractions and, generally, such a ...
AbstractLet A*k(n) be the number of positive integers a coprime to n such that the equation a/n=1/m1...
An Egyptian fraction is the sum of unit fractions , usually distinct. For example, the Egyptian frac...
Let A k (n) be the number of positive integers a coprime to n such that the equation a=n = 1=m 1...
We continue our work on averages for ternary additive problems with powers of prime numbers in Langu...
AbstractWe discuss the problem of representing a natural number n as a sum of certain of its distinc...
AbstractLet D(a,N) = min{nk:aN = Σ1k1ni, n1 < n2 < … < nk, ni ϵ Z0}, where the minimum ranges over a...
The ancient Egyptians used a number system based on unit fractions, i.e. fractions with one in the n...
Let k > 2 be a fixed integer exponent and let θ > 9 / 10. We show that a positive integer N can be r...
Paul Erdös and Ernst G. Straus conjectured in the late 1940s: Given a natural number n greather or e...
AbstractFor given positive integers n and a, let R(n;a) denote the number of positive integer soluti...
AbstractLet k>2 be a fixed integer exponent and let θ>9/10. We show that a positive integer N can be...
In ancient Egypt, fractions were represented as the sum of inverses to natural numbers. Processing f...
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