Properties of the function f(x)=x/π(x)
We obtain the asymptotic estimations for ∑k=2nf(k) and ∑k=2n1/f(k), where f(k)=k/π(k), k≥2. We study the expression 2f(x+y)−f(x)−f(y) for integers x,y≥2 and as an application we make several remarks in connection with the conjecture of Hardy and Littlewood.
Zapisane w:
| 1. autor: | |
|---|---|
| Format: | Artigo |
| Język: | Inglês |
| Wydane: |
Wiley
2001-01-01
|
| Seria: | International Journal of Mathematics and Mathematical Sciences |
| Dostęp online: | http://dx.doi.org/10.1155/S0161171201005725 |
| Etykiety: |
Nie ma etykietki, Dołącz pierwszą etykiete!
|