Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
analytic number theory
|
| gptkbp:field |
number theory
|
| gptkbp:first_Chebyshev_function |
θ(x) = sum of log p for all primes p ≤ x
|
| gptkbp:hasVariant |
first Chebyshev function
second Chebyshev function |
| https://www.w3.org/2000/01/rdf-schema#label |
Chebyshev function
|
| gptkbp:namedAfter |
gptkb:Pafnuty_Chebyshev
|
| gptkbp:relatedTo |
gptkb:von_Mangoldt_function
gptkb:Riemann_zeta_function gptkb:Prime_Number |
| gptkbp:second_Chebyshev_function |
ψ(x) = sum of log p for all prime powers p^k ≤ x
|
| gptkbp:symbol |
ψ(x)
θ(x) |
| gptkbp:usedFor |
estimating distribution of primes
|
| gptkbp:usedIn |
gptkb:prime_number_theorem
|
| gptkbp:bfsParent |
gptkb:Paul_Chebyshev
gptkb:Chebyshev_F gptkb:Chebyshev_L gptkb:prime-counting_function |
| gptkbp:bfsLayer |
8
|