Timeline for On the local factor of Rankin-Selberg L-functions
Current License: CC BY-SA 4.0
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Sep 13 at 15:28 | answer | added | Will Sawin | timeline score: 3 | |
Sep 13 at 15:06 | history | edited | FeiHou | CC BY-SA 4.0 |
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Sep 13 at 14:39 | comment | added | FeiHou | @DavidLoeffler Thanks for comment. Yes, it looks a bit strange; I am afraid that this type of $L$-series probably do not satisfy certain functional equation of the Riemann-type. Maybe one should consider $L(\Pi, s)=\sum_{n\ge 1}\frac{\lambda_{f\times g \times \widetilde{f\times g}}(n)}{n^s}$ instead. | |
Sep 13 at 7:10 | comment | added | David Loeffler | The quantity you're calling $L(\pi, s)$ looks slightly strange; why do you want to consider this particular series? It is not, as far as I can see, the $L$-function of any automorphic representation (so the notation is a bit misleading, it is not clear what $\pi$ is supposed to refer to). You might perhaps be able to write it as a ratio of automorphic L-functions. | |
Sep 13 at 4:10 | history | edited | FeiHou | CC BY-SA 4.0 |
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Sep 13 at 1:00 | history | asked | FeiHou | CC BY-SA 4.0 |