On vanishing sums for roots of unity
| dc.creator | Lam, T. Y. | |
| dc.creator | Leung, K. H. | |
| dc.date | 1995-11-13 | |
| dc.date.accessioned | 2026-07-07T09:15:25Z | |
| dc.date.available | 2026-07-07T09:15:25Z | |
| dc.description | Consider the $m$-th roots of unity in {\bf C}, where $m>0$ is an integer. We address the following question: For what values of $n$ can one find $n$ such $m$-th roots of unity (with repetitions allowed) adding up to zero? We prove that the answer is exactly the set of linear combinations with non-negative integer coefficients of the prime factors of $m$. | |
| dc.identifier | https://arxiv.org/abs/math/9511209 | |
| dc.identifier | http://arxiv.org/abs/math/9511209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153011 | |
| dc.subject | Number Theory | |
| dc.title | On vanishing sums for roots of unity | |
| dc.type | text |