Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
sieve methods
sequences of complex numbers |
| gptkbp:field |
analytic number theory
|
| gptkbp:form |
sum_{n=M+1}^{M+N} |a_n|^2 ≤ (Q^2 + N - 1) max_{q ≤ Q} sum_{a=1}^{q} |sum_{n=M+1}^{M+N} a_n e(an/q)|^2
|
| gptkbp:formedBy |
gptkb:Yuri_Linnik
|
| gptkbp:generalizes |
large sieve for primes
large sieve with characters |
| https://www.w3.org/2000/01/rdf-schema#label |
large sieve inequality
|
| gptkbp:introducedIn |
1941
|
| gptkbp:notableFor |
distribution of primes in arithmetic progressions
zero-density estimates for L-functions |
| gptkbp:relatedTo |
gptkb:Selberg_sieve
gptkb:Bombieri–Vinogradov_theorem gptkb:Brun_sieve |
| gptkbp:usedFor |
estimating distribution of prime numbers
bounding exponential sums |
| gptkbp:bfsParent |
gptkb:Large_sieve
|
| gptkbp:bfsLayer |
7
|