General Boyd-Lawton Theorems with Multivariable Limits
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911098014269440 |
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| author | Aitken, Wayne Ayers, Kimberly Smith, Hanson |
| author_facet | Aitken, Wayne Ayers, Kimberly Smith, Hanson |
| contents | The classical Boyd-Lawton theorem concerning Mahler measures has recently been extended to multivariable limits by Brunault, Guilloux, Mehrabdollahei, and Pengo. In another direction, the single-variable Boyd-Lawton theorem has been generalized to various extensions of Mahler measure by Issa and Lalín. The goal of this paper is to present a cohesive framework for extending single-variable Boyd-Lawton theorems to multivariable Boyd-Lawton theorems. With this, we broaden the single-variable Boyd-Lawton theorems of Issa and Lalín to multivariable versions in the direction of Brunault, Guilloux, Mehrabdollahei, and Pengo, providing a generalization of both works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | General Boyd-Lawton Theorems with Multivariable Limits Aitken, Wayne Ayers, Kimberly Smith, Hanson Number Theory 11R06 The classical Boyd-Lawton theorem concerning Mahler measures has recently been extended to multivariable limits by Brunault, Guilloux, Mehrabdollahei, and Pengo. In another direction, the single-variable Boyd-Lawton theorem has been generalized to various extensions of Mahler measure by Issa and Lalín. The goal of this paper is to present a cohesive framework for extending single-variable Boyd-Lawton theorems to multivariable Boyd-Lawton theorems. With this, we broaden the single-variable Boyd-Lawton theorems of Issa and Lalín to multivariable versions in the direction of Brunault, Guilloux, Mehrabdollahei, and Pengo, providing a generalization of both works. |
| title | General Boyd-Lawton Theorems with Multivariable Limits |
| topic | Number Theory 11R06 |
| url | https://arxiv.org/abs/2508.05910 |