Szemerédi's theorem for primes
GPTKB entity
Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
gptkb:Green–Tao_theorem
|
gptkbp:field |
number theory
combinatorics |
gptkbp:generalizes |
gptkb:Szemerédi's_theorem
|
gptkbp:hasMethod |
gptkb:Gowers_norms
Fourier analysis ergodic theory pseudorandomness transference principle |
https://www.w3.org/2000/01/rdf-schema#label |
Szemerédi's theorem for primes
|
gptkbp:impact |
major breakthrough in additive number theory
|
gptkbp:inspiredBy |
gptkb:Szemerédi's_theorem
|
gptkbp:provenBy |
gptkb:Terence_Tao
gptkb:Ben_Green |
gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
gptkbp:relatedTo |
prime numbers
additive combinatorics arithmetic progressions |
gptkbp:state |
the prime numbers contain arbitrarily long arithmetic progressions
|
gptkbp:yearProved |
2004
|
gptkbp:bfsParent |
gptkb:Green–Tao_theorem
|
gptkbp:bfsLayer |
5
|