Timeline for Largest known zero of the Riemann zeta function
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 13, 2021 at 23:48 | comment | added | Gerry Myerson | $10^{10^{12}}$ is beyond imagination, but $\aleph_0$ isn't. | |
| Mar 8, 2017 at 22:45 | comment | added | Bazin | My last comments can be illustrated by the fact that $\ln\ln 10^{100}\approx 5.4$ (quite small), $\ln\ln10^{10000}\approx 10$ (not so large), $\ln\ln10^{10^{12}}\approx 28$ (still rather small). I believe that $10^{10^{12}}$ is beyond imagination if you think that there are less than $10^{100}$ particles in the universe. Anyhow $\ln\ln$ is increasing very slowly and detecting numerically that function as not constant (!) would involve incredibly large numbers. | |
| Mar 8, 2017 at 17:19 | comment | added | Stopple | This comes for 'solving' the well know asymptotic formula for the number $n$ of zeros up to height $t$, for $t$ as a function of $n$. A more precise asymptotic will use the Lambert $W$-function. | |
| Mar 8, 2017 at 16:44 | history | answered | joro | CC BY-SA 3.0 |