Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Diophantine_approximation
|
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:Dirichlet's_approximation_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Davenport's theorem
|
| gptkbp:namedAfter |
gptkb:Harold_Davenport
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:relatedTo |
gptkb:geometry_of_numbers
|
| gptkbp:sentence |
For any real numbers α₁, ..., αₙ and any positive integer N, there exist integers q, p₁, ..., pₙ, with 1 ≤ q ≤ N, such that |qαᵢ - pᵢ| < N^{-1/n} for all i = 1, ..., n.
|
| gptkbp:yearProposed |
1947
|
| gptkbp:bfsParent |
gptkb:Sarnak's_conjecture
|
| gptkbp:bfsLayer |
8
|