Properties (11)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical function
|
| gptkbp:defines |
Λ(n)_=_0_if_n_is_not_a_power_of_a_prime
Λ(n)_=_log(p)_if_n_=_p^k_for_some_prime_p_and_integer_k_≥_1 |
| https://www.w3.org/2000/01/rdf-schema#label |
Mangoldt function
|
| gptkbp:is_a |
generalization of the von Mangoldt function
|
| gptkbp:is_essential_for |
the study of the distribution of prime numbers
|
| gptkbp:is_used_in |
analytic number theory
|
| gptkbp:performedBy |
the explicit formula for the prime counting function
|
| gptkbp:previousName |
Hans_Mangoldt
|
| gptkbp:related_to |
gptkb:Riemann_zeta_function
number theory |