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by
Ciro Santilli
(@cirosantilli,
32
)
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
Table of contents
Lagrange's four-square theorem
Legendre's three-square theorem
Sum of two squares theorem
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
Ancestors
Waring's problem
Additive basis theorem
Additive basis
Additive number theory
Diophantine equation
Polynomial
Mathematics
Index
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