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About
additive basis
(Definition)
A
subset
of
is an
(additive) basis
of order
if
where
is
-fold
sumset
of
. Usually it is assumed that
0
belongs to
when saying that
is an additive basis.
"additive basis" is owned by
bbukh
.
(
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See Also:
asymptotic basis
,
Schnirelmann density
,
essential component
Other names:
basis
Also defines:
order of additive basis
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Cross-references:
sumset
,
subset
There are
47 references
to this entry.
This is
version 3
of
additive basis
, born on 2002-12-26, modified 2002-12-26.
Object id is
3831
, canonical name is
Basis2
.
Accessed 9228 times total.
Classification:
AMS MSC
:
11B13
(Number theory :: Sequences and sets :: Additive bases)
Pending Errata and Addenda
None.
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