Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
subsets of natural numbers
|
| gptkbp:defines |
infimum of the densities of finite unions of arithmetic progressions contained in a set
|
| gptkbp:field |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Schnirelmann density
|
| gptkbp:introducedIn |
1930s
|
| gptkbp:namedAfter |
gptkb:Lev_Schnirelmann
|
| gptkbp:property |
σ(A) = inf_{n≥1} A(n)/n, where A(n) is the number of elements of A less than or equal to n
|
| gptkbp:relatedTo |
asymptotic density
|
| gptkbp:symbol |
σ(A)
|
| gptkbp:usedIn |
additive number theory
|
| gptkbp:bfsParent |
gptkb:Lev_Schnirelmann
|
| gptkbp:bfsLayer |
8
|