Timeline for Expression of the root number for Maass forms
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 18, 2017 at 11:13 | comment | added | Peter Humphries | A caveat on DFI: ostensibly, the result is for primitive nebentypus, but Proposition 8.1 is valid regardless in the imprimitive case. Also there are some minor mistakes in the proof and statement: see the bottom of page 8 of arxiv.org/abs/1710.03624 | |
| Dec 18, 2017 at 11:09 | comment | added | Desiderius Severus | @PeterHumphries I corrected (1), thanks for the comment. I seems perfect for (2), I will dig into Duke-Friedlander-Iwaniec. | |
| Dec 18, 2017 at 11:07 | history | edited | Desiderius Severus | CC BY-SA 3.0 |
added 28 characters in body
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| Dec 18, 2017 at 10:59 | comment | added | Peter Humphries | (1) This formula only holds for squarefree level! Indeed, $\lambda_f(p) = 0$ if $f$ is a newform of level $q \equiv 0 \pmod{p^2}$ and principal nebentypus. (2) Essentially the same formula holds for (even or odd) Maass forms of weight zero and principal nebentypus, without the $i^k$ term; this is essentially shown in Proposition 8.1 of Duke-Friedlander-Iwaniec. | |
| Dec 18, 2017 at 9:57 | history | asked | Desiderius Severus | CC BY-SA 3.0 |