Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
li(x)
|
| gptkbp:antiderivativeOf |
1 / log t
|
| gptkbp:asymptoticTo |
π(x) (prime counting function)
|
| gptkbp:defines |
li(x) = ∫₂ˣ dt / log t
|
| gptkbp:domain |
x > 0, x ≠ 1
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Number_theory gptkb:Mathematical_analysis |
| gptkbp:hasSingularityAt |
x = 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
The Logarithmic Integral I
|
| gptkbp:integralLowerLimit |
2
|
| gptkbp:integralUpperLimit |
x
|
| gptkbp:notation |
li(x)
|
| gptkbp:notToBeConfusedWith |
Logarithmic integral function (Li(x)) with lower limit 0
|
| gptkbp:relatedTo |
gptkb:Prime_number_theorem
gptkb:Riemann_zeta_function |
| gptkbp:studiedBy |
gptkb:Carl_Friedrich_Gauss
gptkb:Adrien-Marie_Legendre |
| gptkbp:usedFor |
Estimating the number of primes less than x
|
| gptkbp:variant |
x
|
| gptkbp:bfsParent |
gptkb:Paul_Koosis
|
| gptkbp:bfsLayer |
7
|