Piatetski-Shapiro prime number theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
real numbers c with 1 < c < 12/11 (originally)
|
| gptkbp:concerns |
distribution of prime numbers
|
| gptkbp:field |
number theory
|
| gptkbp:generalizes |
gptkb:prime_number_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Piatetski-Shapiro prime number theorem
|
| gptkbp:improves |
subsequent mathematicians extended the range of c
|
| gptkbp:namedAfter |
gptkb:Ilya_Piatetski-Shapiro
|
| gptkbp:publishedIn |
gptkb:Matematicheskii_Sbornik
|
| gptkbp:state |
for certain non-integer exponents c, the sequence ⌊n^c⌋ contains infinitely many primes
|
| gptkbp:yearProved |
1953
|
| gptkbp:bfsParent |
gptkb:Ilya_Piatetski-Shapiro
|
| gptkbp:bfsLayer |
5
|