An approach to Julia Robinson numbers through the lattice of subfields
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917575301005312 |
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| author | Vidaux, Xavier Videla, Carlos R. |
| author_facet | Vidaux, Xavier Videla, Carlos R. |
| contents | By fully describing the lattice of subfields of some towers of number fields built by iterating square roots, we obtain infinitely many fields, each of them either contradicts Julia Robinson's problem (obtaining a JR-number $4$ which is not a minimum) or gives a Julia Robinson number strictly between four and infinity. This improves a previous result by M. Castillo and the same authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An approach to Julia Robinson numbers through the lattice of subfields Vidaux, Xavier Videla, Carlos R. Number Theory Commutative Algebra 12F05 By fully describing the lattice of subfields of some towers of number fields built by iterating square roots, we obtain infinitely many fields, each of them either contradicts Julia Robinson's problem (obtaining a JR-number $4$ which is not a minimum) or gives a Julia Robinson number strictly between four and infinity. This improves a previous result by M. Castillo and the same authors. |
| title | An approach to Julia Robinson numbers through the lattice of subfields |
| topic | Number Theory Commutative Algebra 12F05 |
| url | https://arxiv.org/abs/2401.14492 |