Timeline for Does exist a variant of Frullani's theorem valid for $f(x)=\pi(x)/x$ or $f(x)=\psi(x)/x$, where the numerators are prime-counting functions?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 6, 2020 at 13:14 | vote | accept | user142929 | ||
| Aug 18, 2019 at 15:17 | comment | added | Steven Clark | For Riemann's explicit formula $\Pi(x)=li(x)-\sum\limits_\rho Ei(\log(x)\,\rho)-\log (2)+\int_x^\infty\frac{1}{t\,\left(t^2-1\right)\log(t)}\,dt$, is there also a Fruliani-type integral for $\int_x^\infty\frac{1}{t\,\left(t^2-1\right)\log(t)}\,dt=-\sum\limits_{n=1}^\infty Ei(-2\,n\,\log(x))$? | |
| Aug 4, 2019 at 16:31 | comment | added | user142929 | Many thanks again, I am going to study your answer. | |
| Aug 4, 2019 at 16:16 | history | answered | Greg Martin | CC BY-SA 4.0 |