Timeline for Inequality for a gamma function
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 18, 2019 at 4:09 | answer | added | 2734364041 | timeline score: 0 | |
| Sep 9, 2015 at 10:50 | history | edited | Fancier of Mathematica | CC BY-SA 3.0 |
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| Oct 18, 2014 at 19:44 | history | edited | Fancier of Mathematica | CC BY-SA 3.0 |
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| Oct 5, 2014 at 18:36 | answer | added | paul garrett | timeline score: 1 | |
| Apr 8, 2014 at 14:55 | comment | added | Marc Palm | The logarithmic derivative of the Selberg Zeta function grows like $CT^2$ as $\Im z = T \rightarrow \infty$, which can be seen from the Weyl law. More important for its growth is the Barnes-G-function. $\Gamma$ contributes at most $T \log(T)$ in the non-compact setting. | |
| Apr 8, 2014 at 14:11 | answer | added | Sergei | timeline score: 1 | |
| Mar 25, 2014 at 11:20 | comment | added | Johannes Trost | The answer is yes. I have googled "gamma function inequality complex argument" and was pointed to a paper (arxiv.org/pdf/1301.1749.pdf) by Ismail and Muldoon (2011). The inequality (in slightly modified form) is given in Eq.(5.1). The proof (according to the paper) can be found in "Topics on Analytic Number Theory" by Hans Rademacher (Springer, 1973) on pp 68-70. | |
| Mar 20, 2014 at 13:38 | history | asked | Fancier of Mathematica | CC BY-SA 3.0 |