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Waring's problem for squares

4 squares are sufficient by Lagrange's four-square theorem.
3 is not enough by Legendre's three-square theorem.
The subsets reachable with 2 and 3 squares are fully characterized by Legendre's three-square theorem and

Ancestors (13)

  1. Waring's problem
  2. Additive basis theorem
  3. Additive basis
  4. Additive number theory
  5. Diophantine equation
  6. Polynomial
  7. Numeric function
  8. Function by signature
  9. Function
  10. Formalization of mathematics
  11. Area of mathematics
  12. Mathematics
  13. Home