French translation for "dirichlet density"
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- densité analytique
- Example Sentences:
| 1. | If A is a subset of the prime numbers, the Dirichlet density of A is the limit lim s → 1 + ∑ p ∈ A 1 p s ∑ p 1 p s {\displaystyle \lim _{s\rightarrow 1^{+}}{\frac {\sum _{p\in A}{1 \over p^{s}}}{\sum _{p}{\frac {1}{p^{s}}}}}} if it exists.
Si A est un ensemble de nombres premiers , la densité analytique de A est la limite d ( A ) = lim s → 1 + ∑ p ∈ A 1 p s ∑ p 1 p s | | 2. | Roughly speaking, proving that some set of primes has a non-zero Dirichlet density usually involves showing that certain L-functions do not vanish at the point s = 1, while showing that they have a natural density involves showing that the L-functions have no zeros on the line Re(s) = 1.
De façon générale, montrer qu'un ensemble de nombres premiers a une densité analytique non nulle se ramène souvent à montrer que certaines fonctions L ne s'annulent pas en s = 1, alors que montrer qu'il a une densité asymptotique demande de montrer que ces fonctions Lne s'annulent pas sur toute la droite Re(s) = 1. |
- Similar Words：
- "dirichlet beta function" French translation, "dirichlet boundary condition" French translation, "dirichlet character" French translation, "dirichlet conditions" French translation, "dirichlet convolution" French translation, "dirichlet distribution" French translation, "dirichlet energy" French translation, "dirichlet eta function" French translation, "dirichlet function" French translation
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