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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2410.03238 |
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| _version_ | 1866910633116565504 |
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| author | Kim, Dohyeong Song, Seungho |
| author_facet | Kim, Dohyeong Song, Seungho |
| contents | The conjecture due to Bertrand and Rodriguez Villegas asserts that the 1-norm of the nonzero element in an exterior power of the units of a number field has a certain lower bound. We prove this conjecture for the exterior square case when the number field is a real multi-quadratic Galois extension of any degree of the rationals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_03238 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bertrand's and Rodriguez Villegas' conjecture for real multi-quadratic Galois extensions of the rationals Kim, Dohyeong Song, Seungho Number Theory 11R27, 11G50 The conjecture due to Bertrand and Rodriguez Villegas asserts that the 1-norm of the nonzero element in an exterior power of the units of a number field has a certain lower bound. We prove this conjecture for the exterior square case when the number field is a real multi-quadratic Galois extension of any degree of the rationals. |
| title | Bertrand's and Rodriguez Villegas' conjecture for real multi-quadratic Galois extensions of the rationals |
| topic | Number Theory 11R27, 11G50 |
| url | https://arxiv.org/abs/2410.03238 |