Add to ORKGAny natural number can be represented as the sum of the squares of four non-negative integers. For most numbers there are multiple representations. In this Demonstration, the four integers (not squared) may be viewed using three different options
It is conjectured that every sufficiently large integer $N\equiv 4\pmod{24}$ should be a sum of the ...
AbstractAs a generalization of the famous four square theorem of Lagrange, it was proved that every ...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
This article provides a formalized proof of the so-called “the four-square theorem”, namely any natu...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
International audienceIn this article we will first provide an overview of Lagrange’s arithmetic wor...
Knowledge about number theory and representations of numbersLagrange proved that every positive inte...
Lagrange proved that every positive integer is the sum of four squares of natural numbers. Although ...
AbstractThe celebrated Four Squares Theorem of Lagrange states that every positive integer is the su...
The four square theorem was proved by Lagrange in 1770; every positive integer is the sum of four sq...
AbstractWhile various techniques have been used to demonstrate the classical four squares theorem fo...
We prove that the theory IΔ0, extended by a weak version of the Δ0-Pigeonhole Principle, proves that...
Lagrange proved a theorem which states that every nonnegative integer can be written as a sum of fou...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
It is conjectured that every sufficiently large integer $N\equiv 4\pmod{24}$ should be a sum of the ...
AbstractAs a generalization of the famous four square theorem of Lagrange, it was proved that every ...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
This article provides a formalized proof of the so-called “the four-square theorem”, namely any natu...
Abstract. The Four Square Theorem was proved by Lagrange in 1770: ev-ery positive integer is the sum...
International audienceIn this article we will first provide an overview of Lagrange’s arithmetic wor...
Knowledge about number theory and representations of numbersLagrange proved that every positive inte...
Lagrange proved that every positive integer is the sum of four squares of natural numbers. Although ...
AbstractThe celebrated Four Squares Theorem of Lagrange states that every positive integer is the su...
The four square theorem was proved by Lagrange in 1770; every positive integer is the sum of four sq...
AbstractWhile various techniques have been used to demonstrate the classical four squares theorem fo...
We prove that the theory IΔ0, extended by a weak version of the Δ0-Pigeonhole Principle, proves that...
Lagrange proved a theorem which states that every nonnegative integer can be written as a sum of fou...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
The thesis discusses classical number theory problems on representations of integers by sums of two,...
It is conjectured that every sufficiently large integer $N\equiv 4\pmod{24}$ should be a sum of the ...
AbstractAs a generalization of the famous four square theorem of Lagrange, it was proved that every ...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...