AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is shown to yield a new proof of the three squares theorem. A positive integer k can be represented as a sum of three integer squares if and only if k ≠ 4an with n ≡ 7 (mod 8) and a ≥ 0. This proof depends of the Brauer group and class field theory, not on ternary quadratic forms
This thesis shows that the properties of integers and rings of Gaussian integers have analogous prop...
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...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
AbstractLet s(n) be the number of representations of n as the sum of three squares. We prove a remar...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
AbstractWhile various techniques have been used to demonstrate the classical four squares theorem fo...
AbstractWe give a variety of results involving s(n), the number of representation of n as a sum of t...
For a positive integer k and a certain arithmetic progression A, there exist infinitely many quadrat...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
Abstract. We give a variety of results involving s(n), the number of representations of n as a sum o...
AbstractThe set S consisting of those positive integers n which are uniquely expressible in the form...
AbstractA sample theorem is the following: −1 can be represented as a sum of three squares of number...
Let r3(n) be the number of representations of a positive integer n as a sum of three squares of inte...
This thesis shows that the properties of integers and rings of Gaussian integers have analogous prop...
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...
AbstractA theorem of Fein, Gordon, and Smith on the representation of −1 as a sum of two squares is ...
AbstractLet s(n) be the number of representations of n as the sum of three squares. We prove a remar...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
AbstractWhile various techniques have been used to demonstrate the classical four squares theorem fo...
AbstractWe give a variety of results involving s(n), the number of representation of n as a sum of t...
For a positive integer k and a certain arithmetic progression A, there exist infinitely many quadrat...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
Abstract. We give a variety of results involving s(n), the number of representations of n as a sum o...
AbstractThe set S consisting of those positive integers n which are uniquely expressible in the form...
AbstractA sample theorem is the following: −1 can be represented as a sum of three squares of number...
Let r3(n) be the number of representations of a positive integer n as a sum of three squares of inte...
This thesis shows that the properties of integers and rings of Gaussian integers have analogous prop...
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...
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