Timeline for Values at 1 of symmetric power L-functions of Maass cusp forms
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Aug 23, 2021 at 15:44 | comment | added | hofnumber | @PeterHumphries Many thanks for your comments. Much obliged! | |
| Aug 23, 2021 at 12:59 | comment | added | Peter Humphries | This isn't known without recourse to the Ramanujan conjecture. The best that one can do unconditionally (so far) is $L(1,\mathrm{sym}^2 f) \ll \exp(C(\log q)^{1/2} (\log \log q)^{1/4})$ for some absolute constant $C > 0$ dependent on the spectral parameter of $f$. See Corollary 1 of "Upper Bounds on $L$-Functions at the Edge of the Critical Strip" by Xiannan Li. | |
| Aug 23, 2021 at 5:42 | history | asked | hofnumber | CC BY-SA 4.0 |