Timeline for Root number of the Rankin-Selberg convolution of two newforms
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 5, 2022 at 21:17 | comment | added | Peter Humphries | @DavidLoeffler it's in this book, which your university may have access to: intlpress.com/site/pub/pages/books/items/00000515/index.php | |
| Sep 5, 2022 at 17:56 | comment | added | David Loeffler | The link to Templier's "Voronoi Summation for GL2" seems to be dead, and I haven't managed to find an alternative link. Do you know where this paper can be found? | |
| Jul 17, 2017 at 15:48 | comment | added | Peter Humphries | @lin, yes, I believe that's correct (and in fact is covered in the article that you linked in your question). | |
| Jul 14, 2017 at 19:01 | comment | added | lin | May I ask you one more question? Here the root number $(-1)^{\max\{k,k_g\}+1} \eta_f(p)^2$ turns out to be independent of $\psi(q)$. If we assume the form $g$ to be of level 1 (instead of level $q$), is the root number becoming $(-1)^{\max\{k,k_g\}+1} \eta_f(p)^2 \psi(q)$ instead? | |
| Apr 27, 2017 at 0:09 | vote | accept | lin | ||
| Apr 26, 2017 at 23:53 | comment | added | lin | Fantastic! This is exactly what I want. Many thanks for your time! | |
| Apr 26, 2017 at 23:06 | comment | added | Peter Humphries | @Lin, see the latest edit. Let me know if you have any other questions. | |
| Apr 26, 2017 at 23:06 | history | edited | Peter Humphries | CC BY-SA 3.0 |
added 3161 characters in body
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| Apr 26, 2017 at 19:54 | comment | added | lin | Can you possibly tell me how do the local root numbers $\epsilon_p(\frac{1}{2},\pi_{f,p},\psi_p)$ and $\epsilon_q(\frac{1}{2},\pi_{g,q},\psi_q)$ exactly look like, in terms of the character $\psi$ and the pseudo-eigenvalues of $f$ and $g$? | |
| Dec 11, 2016 at 22:21 | history | answered | Peter Humphries | CC BY-SA 3.0 |