AbstractIt is proved that for given unequal positive numbers h, k there exist infinitely many natural numbers n for which n, n + h, n + k are all sums of two squares
We consider the problem of finding four different rational squares, such that the product of any two...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
In this note, we prove that every prime of the form 4m + 1 is the sum of the squares of two positive...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
AbstractIn this paper we confirm a conjecture of Sun which states that each positive integer is a su...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday. We show that there are short inter...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
In the present paper we show that there exist infinitely many consecutive square-free numbers of the...
Simplicity. - Let n denote an arbitrary integer >0, and m an odd interger >0. Write N[n = f] for the...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet '(n) denote the Euler function. In this pa...
AbstractIn a recent paper, P. Chowla proved that −1 can be represented as a sum of two squares in Q(...
This thesis shows that the properties of integers and rings of Gaussian integers have analogous prop...
For all n , it is always possible to find at least one sum of n consecutive numbers with an equivale...
AbstractIt is shown: (i) there exist distinct odd naturals, the sum of whose reciprocals is equal to...
We consider the problem of finding four different rational squares, such that the product of any two...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
In this note, we prove that every prime of the form 4m + 1 is the sum of the squares of two positive...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
AbstractIn this paper we confirm a conjecture of Sun which states that each positive integer is a su...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday. We show that there are short inter...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
In the present paper we show that there exist infinitely many consecutive square-free numbers of the...
Simplicity. - Let n denote an arbitrary integer >0, and m an odd interger >0. Write N[n = f] for the...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet '(n) denote the Euler function. In this pa...
AbstractIn a recent paper, P. Chowla proved that −1 can be represented as a sum of two squares in Q(...
This thesis shows that the properties of integers and rings of Gaussian integers have analogous prop...
For all n , it is always possible to find at least one sum of n consecutive numbers with an equivale...
AbstractIt is shown: (i) there exist distinct odd naturals, the sum of whose reciprocals is equal to...
We consider the problem of finding four different rational squares, such that the product of any two...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
In this note, we prove that every prime of the form 4m + 1 is the sum of the squares of two positive...
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