Tauberian Theorem: Square-root singularity and Ramified covering of degree two
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913950462902272 |
|---|---|
| author | Chevalier, Guillaume |
| author_facet | Chevalier, Guillaume |
| contents | We prove a Tauberian theorem concerning power series admitting square root singularities. More precisely we give an asymptotic expansion to any order of the coefficients of a power series admitting square-root type singularities. This article is one of a triptych with [Che25b] and [Che25c] that aims at proving an asympototic expansion to any order of the passage probability of an irreducible finite range random walk on free groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tauberian Theorem: Square-root singularity and Ramified covering of degree two Chevalier, Guillaume Complex Variables We prove a Tauberian theorem concerning power series admitting square root singularities. More precisely we give an asymptotic expansion to any order of the coefficients of a power series admitting square-root type singularities. This article is one of a triptych with [Che25b] and [Che25c] that aims at proving an asympototic expansion to any order of the passage probability of an irreducible finite range random walk on free groups. |
| title | Tauberian Theorem: Square-root singularity and Ramified covering of degree two |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2507.15394 |