On arithmetical structures on K9
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908321215152128 |
|---|---|
| author | Levaillant, Claire |
| author_facet | Levaillant, Claire |
| contents | We study the arithmetical structures on the complete graph $K_9$. Our method is based on studying the solutions to writing the unit as a sum of 9 unit fractions. We work from the perspective of the Diophantine equation and use some elementary properties on the $p$-adic valuations. The proofs are assisted by trees and automata. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_03668 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On arithmetical structures on K9 Levaillant, Claire Number Theory Combinatorics 11A67, 11B75, 11D85, 11D72, 05C05, 05C30 D.1; E.4 We study the arithmetical structures on the complete graph $K_9$. Our method is based on studying the solutions to writing the unit as a sum of 9 unit fractions. We work from the perspective of the Diophantine equation and use some elementary properties on the $p$-adic valuations. The proofs are assisted by trees and automata. |
| title | On arithmetical structures on K9 |
| topic | Number Theory Combinatorics 11A67, 11B75, 11D85, 11D72, 05C05, 05C30 D.1; E.4 |
| url | https://arxiv.org/abs/2311.03668 |