A systematic approach to Diophantine equations: two thousand solved examples
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917870581055488 |
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| author | Wilcox, Ashleigh |
| author_facet | Wilcox, Ashleigh |
| contents | Monograph "B. Grechuk, Polynomial Diophantine equations. A systematic approach" suggests solving Diophantine equations systematically in certain order. Many hundreds of the equations are left to the reader. Here, we provide complete solutions to all these equations. The difficulties of solved equations range from elementary to research level. In the last section, we present a summary table of all solved equations ordered by their size, which makes them easy to find. As a result, this document may be used as a database of solved Diophantine equations of small size, to which more difficult equations can be reduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08719 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A systematic approach to Diophantine equations: two thousand solved examples Wilcox, Ashleigh General Mathematics 11D99, 11D25 Monograph "B. Grechuk, Polynomial Diophantine equations. A systematic approach" suggests solving Diophantine equations systematically in certain order. Many hundreds of the equations are left to the reader. Here, we provide complete solutions to all these equations. The difficulties of solved equations range from elementary to research level. In the last section, we present a summary table of all solved equations ordered by their size, which makes them easy to find. As a result, this document may be used as a database of solved Diophantine equations of small size, to which more difficult equations can be reduced. |
| title | A systematic approach to Diophantine equations: two thousand solved examples |
| topic | General Mathematics 11D99, 11D25 |
| url | https://arxiv.org/abs/2404.08719 |