AbstractBulygin in 1914 showed how one can find the number of solutions of a positive integer as the sum of an even number of squares by using known formulas from the theory of elliptic functions. The purpose of the present paper is to give a sketch of Bulygin's method
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
AbstractIt has long been known that every positive semidefinite function of R(x, y) is the sum of fo...
In recent years the importance of sum of squares and semidefinte pro-gramming has been seen in the f...
AbstractBulygin in 1914 showed how one can find the number of solutions of a positive integer as the...
Let k and n be positive integers. Let sk(n) denote the number of representations ofn as the sum of k...
Let k and n be positive integers. Let sk(n) denote the number of representations of n as the sum of ...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
We give a new proof of Milne's formulas for the number of representations of an integer as a sum of ...
This paper is an exposition of the work by Beardon [1]. It is basically based on the process of find...
Let r(k) (n) denote the number of representations of the positive integer n as the sum of k squares....
For positive Integers 11 and k, we * let ~ ( n) denote the number of representations of rt as the ...
This dissertation is on sums-of-squares formulas, focusing on whether existence of aformula depends ...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
AbstractIt has long been known that every positive semidefinite function of R(x, y) is the sum of fo...
In recent years the importance of sum of squares and semidefinte pro-gramming has been seen in the f...
AbstractBulygin in 1914 showed how one can find the number of solutions of a positive integer as the...
Let k and n be positive integers. Let sk(n) denote the number of representations ofn as the sum of k...
Let k and n be positive integers. Let sk(n) denote the number of representations of n as the sum of ...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
This paper mainly concerns itself with squares expressible as sum of consecutive squares. Let | be t...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
We give a new proof of Milne's formulas for the number of representations of an integer as a sum of ...
This paper is an exposition of the work by Beardon [1]. It is basically based on the process of find...
Let r(k) (n) denote the number of representations of the positive integer n as the sum of k squares....
For positive Integers 11 and k, we * let ~ ( n) denote the number of representations of rt as the ...
This dissertation is on sums-of-squares formulas, focusing on whether existence of aformula depends ...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
AbstractIt has long been known that every positive semidefinite function of R(x, y) is the sum of fo...
In recent years the importance of sum of squares and semidefinte pro-gramming has been seen in the f...
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