Timeline for An interesting phenomenon of the analytic continuation of Riemann zeta function
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 17, 2018 at 12:09 | comment | added | GH from MO | @Milin: Your relation is valid in $\{s:\ \Re(s)>0,\ s\neq 1\}$. Checking it numerically is a different thing, but you don't need computers to do complex analysis. Holomorphicity in my response follows from the exponential decay of $B_n/n!$. | |
| Jul 17, 2018 at 12:09 | comment | added | Milin | I've checked, the relation gives out too large values for large $t$ in this region | |
| Jul 17, 2018 at 12:05 | comment | added | GH from MO | @Milin: If two holomorphic functions on a connected open set $D$ agree on infinitely many distinct points with a limit point in $D$, then they agree everywhere in $D$. This is one of the basic theorems in complex analysis. | |
| Jul 17, 2018 at 12:03 | comment | added | Milin | But this relation seems only valid in this small region | |
| Jul 17, 2018 at 12:01 | history | answered | GH from MO | CC BY-SA 4.0 |