Waring's problem [SEP] named after
Waring's problem
In number theory, Waring's problem asks whether each natural number "k" has an associated positive integer "s" such that every natural number is the sum of at most "s" natural numbers to the power of "k". For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers. Waring's problem was proposed in 1770 by Edward Waring, after whom it is named. Its affirmative answer, known as the Hilbert–
Wieferich's theorem
Wieferich's theorem may refer to one of the following results named after Arthur Wieferich:
- Wieferich's criterion for the solubility of the "First Case" of Fermat's Last Theorem
- The solution to Waring's problem for cubes, that every integer is the sum of at most 9 cubes