http://www.math.missouri.edu/~bbanks/papers/index.htmlLet '(n) denote the Euler function. In this paper, we determine the order of growth for the number of positive integers n ≤ x for which '(n) is the sum of two square numbers. We also obtain similar results for the Dedekind function (n) and the sum of divisors function _(n)
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
AbstractWe prove that the density of integers ≡2 (mod24), which can be represented as the sum of two...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
This is a preprint of a book chapter published in High Primes and Misdemeanours: Lectures in Honour ...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet ' denote the Euler function. In this paper...
This is a preprint of a book chapter published in High Primes and Misdemeanours: Lectures in Honour ...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet '(•) and _(•) denote the Euler function an...
We prove that the density of integers ≡2 (mod 24), which can be represented as the sum of two square...
We consider the problem of finding four different rational squares, such that the product of any two...
We consider the problem of finding four different rational squares, such that the product of any two...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
We consider the problem of finding four different rational squares, such that the product of any two...
We consider the problem of finding four different rational squares, such that the product of any two...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
AbstractWe prove that the density of integers ≡2 (mod24), which can be represented as the sum of two...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
This is a preprint of a book chapter published in High Primes and Misdemeanours: Lectures in Honour ...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet ' denote the Euler function. In this paper...
This is a preprint of a book chapter published in High Primes and Misdemeanours: Lectures in Honour ...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet '(•) and _(•) denote the Euler function an...
We prove that the density of integers ≡2 (mod 24), which can be represented as the sum of two square...
We consider the problem of finding four different rational squares, such that the product of any two...
We consider the problem of finding four different rational squares, such that the product of any two...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
We consider the problem of finding four different rational squares, such that the product of any two...
We consider the problem of finding four different rational squares, such that the product of any two...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m≤n. We put m =...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...
AbstractWe prove that the density of integers ≡2 (mod24), which can be represented as the sum of two...
summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, ...