Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Chebyshev_function> ?p ?o. }
Showing items 1 to 36 of
36
with 100 items per page.
- Chebyshev_function abstract "In mathematics, the Chebyshev function is either of two related functions. The first Chebyshev function ϑ(x) or θ(x) is given bywith the sum extending over all prime numbers p that are less than or equal to x.The second Chebyshev function ψ(x) is defined similarly, with the sum extending over all prime powers not exceeding x:where is the von Mangoldt function. The Chebyshev functions, especially the second one ψ(x), are often used in proofs related to prime numbers, because it is typically simpler to work with them than with the prime-counting function, π(x) (See the exact formula, below.) Both Chebyshev functions are asymptotic to x, a statement equivalent to the prime number theorem.Both functions are named in honour of Pafnuty Chebyshev.".
- Chebyshev_function thumbnail ChebyshevPsi.png?width=300.
- Chebyshev_function wikiPageExternalLink books?vid=ISBN0387950974&id=U91lsCaJJmsC&pg=PA104&lpg=PA104.
- Chebyshev_function wikiPageExternalLink explicit.html.
- Chebyshev_function wikiPageID "5793598".
- Chebyshev_function wikiPageRevisionID "605181611".
- Chebyshev_function hasPhotoCollection Chebyshev_function.
- Chebyshev_function id "4020".
- Chebyshev_function id "4573".
- Chebyshev_function title "Chebyshev functions".
- Chebyshev_function title "Mangoldt summatory function".
- Chebyshev_function urlname "ChebyshevFunctions".
- Chebyshev_function subject Category:Arithmetic_functions.
- Chebyshev_function type Abstraction100002137.
- Chebyshev_function type ArithmeticFunctions.
- Chebyshev_function type Function113783816.
- Chebyshev_function type MathematicalRelation113783581.
- Chebyshev_function type Relation100031921.
- Chebyshev_function comment "In mathematics, the Chebyshev function is either of two related functions. The first Chebyshev function ϑ(x) or θ(x) is given bywith the sum extending over all prime numbers p that are less than or equal to x.The second Chebyshev function ψ(x) is defined similarly, with the sum extending over all prime powers not exceeding x:where is the von Mangoldt function.".
- Chebyshev_function label "Chebyshev function".
- Chebyshev_function label "Función de Chebyshov".
- Chebyshev_function label "Tschebyschow-Funktion".
- Chebyshev_function label "Функции Чебышёва".
- Chebyshev_function label "دالة تشيبيشيف".
- Chebyshev_function label "チェビシェフ関数".
- Chebyshev_function sameAs Tschebyschow-Funktion.
- Chebyshev_function sameAs Función_de_Chebyshov.
- Chebyshev_function sameAs チェビシェフ関数.
- Chebyshev_function sameAs 체비쇼프_함수.
- Chebyshev_function sameAs m.0f4wvh.
- Chebyshev_function sameAs Q1046711.
- Chebyshev_function sameAs Q1046711.
- Chebyshev_function sameAs Chebyshev_function.
- Chebyshev_function wasDerivedFrom Chebyshev_function?oldid=605181611.
- Chebyshev_function depiction ChebyshevPsi.png.
- Chebyshev_function isPrimaryTopicOf Chebyshev_function.