Timeline for Euler product of Asai L-function?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 11, 2023 at 8:04 | history | edited | F. C. | CC BY-SA 4.0 |
capital to Satake
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| Aug 19, 2018 at 23:13 | comment | added | GH from MO | If you like my answer, please accept it officially (so that it turns green). Thanks in advance! | |
| May 30, 2014 at 13:40 | history | edited | 7-adic | CC BY-SA 3.0 |
edited body
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| May 29, 2014 at 8:28 | comment | added | David Loeffler | Should that be $p^s$, not $p^2$, in the denominator? Otherwise your $L(s, \pi)$ is independent of $s$! More importantly, the Asai $L$-function is (AFAIK) associated to a finite extension of global fields $L / K$ and an automorphic representation $\pi$ of $GL_n / L$, corresponding under Langlands to the "tensor induction" map $GL_n / L \to GL_{nd} / K$ where $d = [L : K]$; if $L = K$ it reduces to the standard $L$-function of $\pi$. So if $L = \mathbf{Q}$ there is no difference between the Asai and standard $L$-functions. | |
| May 28, 2014 at 15:19 | answer | added | GH from MO | timeline score: 7 | |
| May 28, 2014 at 15:03 | history | asked | 7-adic | CC BY-SA 3.0 |