Timeline for Bounds for analytic circles
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 20 at 0:54 | history | edited | Felixson | CC BY-SA 4.0 |
added 1 character in body
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| Mar 19 at 3:18 | history | edited | Felixson | CC BY-SA 4.0 |
edited body
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| Mar 18 at 6:17 | vote | accept | Bo Jonsson | ||
| Mar 18 at 6:12 | vote | accept | Bo Jonsson | ||
| Mar 18 at 6:17 | |||||
| Mar 17 at 23:14 | comment | added | GH from MO | It is known that $\xi(s)$ (hence also $f(s)$) decays exponentially in every vertical strip. This follows from the convexity bound for $\zeta(s)$ and Stirling's approximation for $\Gamma(s/2)$. In particular, for any $0\leq\sigma\leq1$, any $t\geq 1$, and any $\epsilon>0$ we have that $\xi(\sigma+it)\ll t^{2+\epsilon}e^{-\pi t/4}$. For example, $|\xi(1/2+1000i)|\approx 1.599\times 10^{-336}$, while $e^{-250\pi}\approx 8.052\times 10^{-342}$. | |
| S Mar 17 at 22:32 | review | First answers | |||
| Mar 17 at 22:52 | |||||
| S Mar 17 at 22:32 | history | answered | Felixson | CC BY-SA 4.0 |