Lagrange’s four-square theorem
Lagrange’s four-square theorem states that every non-negative integer may be expressed as the sum of at most four squares. By the Euler four-square identity, it is enough to show that every prime is expressible by at most four squares. It was later proved that only the numbers of the form require four squares.
This shows that , where and are the Waring functions (http://planetmath.org/WaringsProblem).
|Title||Lagrange’s four-square theorem|
|Date of creation||2013-03-22 12:35:17|
|Last modified on||2013-03-22 12:35:17|
|Last modified by||bbukh (348)|