Closed paths whose steps are roots of unity
We give explicit formulas for the number $U_n(N)$ of closed polygonal paths of length $N$ (starting from the origin) whose steps are $n^{\textrm{th}}$ roots of unity, as well as asymptotic expressions for these numbers when $N \rightarrow \infty$. We also prove that the sequences $(U_n(N))_{N \geq...
Wedi'i Gadw mewn:
| Prif Awduron: | , |
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| Fformat: | Artigo |
| Iaith: | Inglês |
| Cyhoeddwyd: |
Discrete Mathematics & Theoretical Computer Science
2011-01-01
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| Cyfres: | Discrete Mathematics & Theoretical Computer Science |
| Pynciau: | |
| Mynediad Ar-lein: | https://dmtcs.episciences.org/2937/pdf |
| Tagiau: |
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