Large Sieve

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:field gptkb:Number_theory
gptkbp:generalizes gptkb:Bombieri–Vinogradov_theorem
Erdős–Rényi large sieve
gptkbp:hasConcept Duality principle
Orthogonality of characters
gptkbp:hasInequality Large sieve inequality
https://www.w3.org/2000/01/rdf-schema#label Large Sieve
gptkbp:influenced Modern sieve methods
gptkbp:introducedIn 1941
gptkbp:inventedBy gptkb:Yuri_Linnik
gptkbp:notableFor gptkb:Analytic_number_theory
Distribution of prime numbers
gptkbp:notablePublication Enrico Bombieri, "Le grand crible dans la théorie analytique des nombres" (1974)
H. Halberstam and H.-E. Richert, "Sieve Methods" (1974)
Yuri Linnik, 1941, "Über eine neue Art von Siebverfahren"
gptkbp:relatedTo gptkb:Selberg_sieve
gptkb:Brun_sieve
Sieve theory
gptkbp:usedFor Estimating the size of sifted sets of integers
Bounding the number of primes in arithmetic progressions
gptkbp:bfsParent gptkb:Sieve_Methods
gptkbp:bfsLayer 8