Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:assumes |
no unproven hypotheses (unconditional)
|
| gptkbp:concerns |
distribution of prime numbers in arithmetic progressions
|
| gptkbp:field |
analytic number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Siegel–Walfisz theorem
|
| gptkbp:implies |
gptkb:prime_number_theorem_for_arithmetic_progressions
|
| gptkbp:namedAfter |
gptkb:Arnold_Walfisz
gptkb:Carl_Ludwig_Siegel |
| gptkbp:publishedIn |
1936
|
| gptkbp:relatedTo |
gptkb:Dirichlet's_theorem_on_arithmetic_progressions
gptkb:Generalized_Riemann_Hypothesis |
| gptkbp:sentence |
For any A > 0, there exists a constant C(A) such that for all q ≤ (log x)^A, the error term in the prime number theorem for arithmetic progressions is O(x exp(-c sqrt(log x))) uniformly in q.
|
| gptkbp:bfsParent |
gptkb:Carl_Ludwig_Siegel
|
| gptkbp:bfsLayer |
7
|