Hilbert-Waring Theorem/Historical Note
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Historical Note on Waring's Problem
The Hilbert-Waring Theorem was conjectured by Edward Waring in $1770$ in Meditationes Algebraicae, and was generally referred to as Waring's problem.
It was proved by David Hilbert in $1909$.
The assertion is that for each $k$ there exist such a number $\map g k$.
The problem remains to determine what that $\map g k$ actually is.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $9$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $9$
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Waring's problem