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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.15394 |
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| _version_ | 1866913950462902272 |
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| 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 |