Minimal Mahler Measure in Quartic Galois Number Fields
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911187514425344 |
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| author | Paudel, Bishnu Petersen, Kathleen Wang, Haiyang |
| author_facet | Paudel, Bishnu Petersen, Kathleen Wang, Haiyang |
| contents | We explore the dependence of the minimal integral Mahler measure of Galois quartic fields on the discriminant of the field. We obtain density results which are conditional on the ABC conjecture as well as several unconditional results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal Mahler Measure in Quartic Galois Number Fields Paudel, Bishnu Petersen, Kathleen Wang, Haiyang Number Theory 11G50, 11R06, 11C08 We explore the dependence of the minimal integral Mahler measure of Galois quartic fields on the discriminant of the field. We obtain density results which are conditional on the ABC conjecture as well as several unconditional results. |
| title | Minimal Mahler Measure in Quartic Galois Number Fields |
| topic | Number Theory 11G50, 11R06, 11C08 |
| url | https://arxiv.org/abs/2510.00295 |