The entanglement of radicals
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914006995828736 |
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| author | Chan, Chi Wa Pajaziti, Antigona Perissinotto, Flavio Perucca, Antonella |
| author_facet | Chan, Chi Wa Pajaziti, Antigona Perissinotto, Flavio Perucca, Antonella |
| contents | In this work we achieve a full understanding of the so-called entanglement of radicals, showing that over any field there are extremely few additive relations among radicals. Our results complete a famous theorem by Kneser from 1975 on the linear independence of radicals and solve a problem discussed by Lenstra in 2006. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19211 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The entanglement of radicals Chan, Chi Wa Pajaziti, Antigona Perissinotto, Flavio Perucca, Antonella Number Theory 11R20, 11R18 In this work we achieve a full understanding of the so-called entanglement of radicals, showing that over any field there are extremely few additive relations among radicals. Our results complete a famous theorem by Kneser from 1975 on the linear independence of radicals and solve a problem discussed by Lenstra in 2006. |
| title | The entanglement of radicals |
| topic | Number Theory 11R20, 11R18 |
| url | https://arxiv.org/abs/2508.19211 |