Add to ORKGIn this short note, we look for all cases where the sum of a power of 2 and a power of 3 is a perfect square
AbstractIn a recent paper, P. Chowla proved that −1 can be represented as a sum of two squares in Q(...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
AbstractWe form squares from the product of integers in a short interval [n, n + tn], where we inclu...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
It is proved that there does not exist a set of four positive integers with the property that the pr...
In this proof without words, we prove wordlessly the identity 1+3+5+...+(2n-1)=n^2
AbstractLet n≥2 be an integer. Let A be a subset of [0,n] with 0,n∈A. Assume the greatest common div...
Let k > 2 be a fixed integer exponent and let θ > 9 / 10. We show that a positive integer N can be r...
This paper first appeared in Novi Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 64...
AbstractLet k>2 be a fixed integer exponent and let θ>9/10. We show that a positive integer N can be...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
We study integers n > 1 satisfying the relation σ(n) = γ(n) ² , where σ(n) and γ(n) are the sum of d...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
AbstractIn a recent paper, P. Chowla proved that −1 can be represented as a sum of two squares in Q(...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
AbstractWe form squares from the product of integers in a short interval [n, n + tn], where we inclu...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
We consider positive integers whose sum of divisors is a perfect power. This problem had already cau...
It is proved that there does not exist a set of four positive integers with the property that the pr...
In this proof without words, we prove wordlessly the identity 1+3+5+...+(2n-1)=n^2
AbstractLet n≥2 be an integer. Let A be a subset of [0,n] with 0,n∈A. Assume the greatest common div...
Let k > 2 be a fixed integer exponent and let θ > 9 / 10. We show that a positive integer N can be r...
This paper first appeared in Novi Commentarii academiae scientiarum Petropolitanae, Volume 8, pp. 64...
AbstractLet k>2 be a fixed integer exponent and let θ>9/10. We show that a positive integer N can be...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
We study integers n > 1 satisfying the relation σ(n) = γ(n) ² , where σ(n) and γ(n) are the sum of d...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
AbstractIn a recent paper, P. Chowla proved that −1 can be represented as a sum of two squares in Q(...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
AbstractWe form squares from the product of integers in a short interval [n, n + tn], where we inclu...