The Expected Embedding Dimension, type and weight of a Numerical Semigroup
| Autor: | Deepesh Singhal, Nathan Kaplan |
|---|---|
| Předmět: | |
| Zdroj: | Deepesh Singhal |
| Popis: | We study statistical properties of numerical semigroups of genus $g$ as $g$ goes to infinity. More specifically, we answer a question of Eliahou by showing that as $g$ goes to infinity, the proportion of numerical semigroups of genus $g$ with embedding dimension close to $g/\sqrt{5}$ approaches $1$. We prove similar results for the type and weight of a numerical semigroup of genus $g$. Comment: 35 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|