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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.03399 |
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| _version_ | 1866915770560151552 |
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| author | Lau, Yuk-Kam Ma, Jing |
| author_facet | Lau, Yuk-Kam Ma, Jing |
| contents | We establish Sarnak's conjecture on Möbius disjointness for the dynamical system of a skew product on a circle and the three-dimensional Heisenberg nilmanifold, first studied by Wen Huang, Jianya Liu and Ke Wang. We advance the work of Huang, Liu, Wang, and their followers to a broad generality by removing the previously imposed restrictive symmetry condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03399 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Möbius Disjointness Conjecture for a skew product on a circle and the Heisenberg nilmanifold Lau, Yuk-Kam Ma, Jing Number Theory We establish Sarnak's conjecture on Möbius disjointness for the dynamical system of a skew product on a circle and the three-dimensional Heisenberg nilmanifold, first studied by Wen Huang, Jianya Liu and Ke Wang. We advance the work of Huang, Liu, Wang, and their followers to a broad generality by removing the previously imposed restrictive symmetry condition. |
| title | Möbius Disjointness Conjecture for a skew product on a circle and the Heisenberg nilmanifold |
| topic | Number Theory |
| url | https://arxiv.org/abs/2602.03399 |