A Fourier-Free Density-Increment Proof of Roth's Theorem
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917510164512768 |
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| author | Lewko, Mark |
| author_facet | Lewko, Mark |
| contents | We give an elementary, Fourier-free proof of Roth's theorem. The proof follows Roth's original density-increment strategy, but replaces the usual Fourier-analytic step with a direct combinatorial argument involving averages over sub-progressions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19310 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Fourier-Free Density-Increment Proof of Roth's Theorem Lewko, Mark Combinatorics Number Theory We give an elementary, Fourier-free proof of Roth's theorem. The proof follows Roth's original density-increment strategy, but replaces the usual Fourier-analytic step with a direct combinatorial argument involving averages over sub-progressions. |
| title | A Fourier-Free Density-Increment Proof of Roth's Theorem |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2605.19310 |