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by
Ciro Santilli
(
@cirosantilli,
36
)
Waring problem with negative numbers allowed
...
Diophantine equation
Additive number theory
Additive basis
Additive basis theorem
Waring's problem
Waring problem variant
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Updated
2025-04-24
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Created
1970-01-01
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Sum of three cubes
Waring problem with negative numbers allowed
Sum of three cubes
(Every number has infinitely many representations as the sum of three cubes)
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Waring problem with negative numbers allowed
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Open problem in mathematics
Compared to
Waring's problem
, this is potentially much harder,
as
we
can go infinitely negative in our attempts, there isn'
t
a
bound on how many tries
we
can have for each
number
.
In other
words
, it is unlikely to have
a
Conjecture reduction to a halting problem
.
Video 1.
3
as
the sum of the
3
cubes
by
Numberphile
(2019)
Source
.
Ancestors
(14)
Waring problem variant
Waring's problem
Additive basis theorem
Additive basis
Additive number theory
Diophantine equation
Polynomial
Numeric function
Function by signature
Function (mathematics)
Formalization of mathematics
Area of mathematics
Mathematics
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