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Additive number theory

Table of contents 114 11
- Additive basis Additive number theory 114 10
  - Additive basis theorem Additive basis 114 9
    - Waring's problem (Every number is a sum of $g$ positive numbers to the power of $k$ ) Additive basis theorem 114 8
      - Waring's problem for squares Waring's problem 25 3
        Lagrange's four-square theorem (Every natural number is a sum of four squares, 1770) Waring's problem for squares
        Legendre's three-square theorem (iff not of form $4^{a} (8 b + 7)$ , 1770) Waring's problem for squares
        Sum of two squares theorem Waring's problem for squares
      - Waring problem variant Waring's problem 73 3
        Waring problem with negative numbers allowed Waring problem variant 51 1
        Sum of three cubes (Every number has infinitely many representations as the sum of three cubes) Waring problem with negative numbers allowed 51
        Waring-Goldbach problem Waring problem variant 22

 Ancestors (9)