The Fifteen Theorem for Universal Hermitian Lattices over Imaginary Quadratic Fields
| dc.creator | Kim, Byeong Moon | |
| dc.creator | Kim, Ji Young | |
| dc.creator | Park, Poo-Sung | |
| dc.date | 2007-10-26 | |
| dc.date | 2008-12-24 | |
| dc.date.accessioned | 2026-07-07T12:21:31Z | |
| dc.date.available | 2026-07-07T12:21:31Z | |
| dc.description | We will introduce a method to get all universal Hermitian lattices over imaginary quadratic fields over $\mathbb{Q}(\sqrt{-m})$ for all m. For each imaginary quadratic field $\mathbb{Q}(\sqrt{-m})$, we obtain a criterion on universality of Hermitian lattices: if a Hermitian lattice L represents 1, 2, 3, 5, 6, 7, 10, 13,14 and 15, then L is universal. We call this the fifteen theorem for universal Hermitian lattices. Note that the difference between Conway-Schneeberger's fifteen theorem and ours is the number 13. | |
| dc.description | 20 Pages | |
| dc.identifier | https://arxiv.org/abs/0710.4991 | |
| dc.identifier | http://arxiv.org/abs/0710.4991 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213362 | |
| dc.subject | Number Theory | |
| dc.subject | 11E39 (Primary); 11E20, 11E41 (Secondary) | |
| dc.title | The Fifteen Theorem for Universal Hermitian Lattices over Imaginary Quadratic Fields | |
| dc.type | text |