Counting points by height in semigroup orbits
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910725487722496 |
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| author | Bell, Jason P. Hindes, Wade Zhong, Xiao |
| author_facet | Bell, Jason P. Hindes, Wade Zhong, Xiao |
| contents | We improve known estimates for the number of points of bounded height in semigroup orbits of polarized dynamical systems. In particular, we give exact asymptotics for generic semigroups acting on the projective line. The main new ingredient is the Wiener-Ikehara Tauberian theorem, which we use to count functions in semigroups of bounded degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04960 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Counting points by height in semigroup orbits Bell, Jason P. Hindes, Wade Zhong, Xiao Number Theory Dynamical Systems We improve known estimates for the number of points of bounded height in semigroup orbits of polarized dynamical systems. In particular, we give exact asymptotics for generic semigroups acting on the projective line. The main new ingredient is the Wiener-Ikehara Tauberian theorem, which we use to count functions in semigroups of bounded degree. |
| title | Counting points by height in semigroup orbits |
| topic | Number Theory Dynamical Systems |
| url | https://arxiv.org/abs/2305.04960 |