Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
li(x)
|
| gptkbp:antiderivativeOf |
1 / log x
|
| gptkbp:asymptoticTo |
π(x) (prime counting function)
|
| gptkbp:complexExtension |
yes
|
| gptkbp:defines |
li(x) = ∫₂ˣ dt / log t
|
| gptkbp:domain |
real numbers greater than 0, x ≠ 1
|
| gptkbp:generalizes |
offset logarithmic integral (Li(x))
|
| gptkbp:hasSeriesExpansion |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
logarithmic integral
|
| gptkbp:relatedTo |
logarithm
exponential integral |
| gptkbp:singularity |
x = 1
|
| gptkbp:studiedBy |
gptkb:Carl_Friedrich_Gauss
gptkb:Adrien-Marie_Legendre |
| gptkbp:usedFor |
estimating the number of primes less than x
|
| gptkbp:usedIn |
gptkb:prime_number_theorem
number theory |
| gptkbp:valueAt2 |
0
|
| gptkbp:bfsParent |
gptkb:prime_number_theorem
gptkb:Prime_Number_Theorem |
| gptkbp:bfsLayer |
6
|