Timeline for A question on the period integral of Rankin-Selberg $L$-function
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Nov 8, 2021 at 18:39 | comment | added | Peter Humphries | @SubhajitJana thanks! | |
| Nov 8, 2021 at 18:38 | comment | added | Subhajit Jana | Indeed, the center of the smaller group is the only problem. So one may hope that a ``naive'' regularization, that is, regularizing only the central direction would work. This is what we have done in our recent preprint, \S4.6 arxiv.org/abs/2111.02297v1. | |
| Nov 8, 2021 at 17:58 | comment | added | Peter Humphries | @DavidLoeffler yes, that seems right from my understanding. | |
| Nov 8, 2021 at 17:57 | comment | added | David Loeffler | I guess the "villain" here is the centre of the smaller group, right? If $\Phi$ is Eisenstein and $\phi$ is cuspidal, then the integrand has rapid decay on any coset of $SL_n(\mathbb{A}_F)$, but might not have rapid decay as a function on $Z(GL_n)$. | |
| Nov 8, 2021 at 17:51 | history | edited | Peter Humphries | CC BY-SA 4.0 |
added 673 characters in body
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| Nov 7, 2021 at 22:47 | history | answered | Peter Humphries | CC BY-SA 4.0 |