Euler's four-square identity
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
product of two sums of four squares
|
| gptkbp:discoveredIn |
1748
|
| gptkbp:field |
gptkb:algebra
number theory |
| gptkbp:form |
(a1^2 + a2^2 + a3^2 + a4^2)(b1^2 + b2^2 + b3^2 + b4^2) = c1^2 + c2^2 + c3^2 + c4^2
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's four-square identity
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:relatedTo |
gptkb:Lagrange's_four-square_theorem
gptkb:Brahmagupta–Fibonacci_identity |
| gptkbp:state |
The product of two numbers, each of which is a sum of four squares, is itself a sum of four squares.
|
| gptkbp:bfsParent |
gptkb:Euler,_Leonhard
gptkb:Euler gptkb:Brahmagupta's_identity gptkb:Leonard_Euler |
| gptkbp:bfsLayer |
7
|