On computing the Newton polygons of plus and minus $p$-adic $L$-functions
| dc.contributor.author | Balakrishnan, Sai Sanjeev | |
| dc.contributor.author | Lei, Antonio | |
| dc.contributor.author | Palvannan, Bharathwaj | |
| dc.date.accessioned | 2023-01-31T23:35:27Z | |
| dc.date.available | 2023-01-31T23:35:27Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | Let $p\geq3$ be a prime number and $E/\mathbb{Q}$ an elliptic curved with good supersingular reduction at $p$ and $a_p(E)=0$. In this article, we study the computation of the Newton polygons of Pollack's plus and minus $p$-adic $L$-functions attached to $E$. In particular, we furnish new examples where the assumption GCD in [Forum Math. Sigma, 7:Paper No. e25] holds. We also take this opportunity to rectify two imprecisions in the aforementioned article. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10393/44585 | |
| dc.identifier.uri | https://doi.org/10.20381/ruor-28791 | |
| dc.language.iso | en | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.subject | Iwasawa theory for elliptic curves at supersingular primes | en_US |
| dc.title | On computing the Newton polygons of plus and minus $p$-adic $L$-functions | en_US |
| dc.type | Preprint | en_US |
