Finiteness criteria for the solutions of a sequence of decomposable form inequalities
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912903871856640 |
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| author | Quang, Si Duc |
| author_facet | Quang, Si Duc |
| contents | In this paper, we give a finiteness criterion for the solutions of the sequence of semi-$q$-decomposable form equations and inequalities, where the semi-$q$-decomposable form is factorized into a family of $q$ nonconstant homogeneous polynomials with the distributive constant not exceeding a certain number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08607 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finiteness criteria for the solutions of a sequence of decomposable form inequalities Quang, Si Duc Number Theory 11J68 In this paper, we give a finiteness criterion for the solutions of the sequence of semi-$q$-decomposable form equations and inequalities, where the semi-$q$-decomposable form is factorized into a family of $q$ nonconstant homogeneous polynomials with the distributive constant not exceeding a certain number. |
| title | Finiteness criteria for the solutions of a sequence of decomposable form inequalities |
| topic | Number Theory 11J68 |
| url | https://arxiv.org/abs/2501.08607 |