Van der Waerden's theorem on arithmetic progressions -- a survey of some historical and modern developments
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911547412971520 |
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| author | Bergelson, Vitaly Richter, Florian K. |
| author_facet | Bergelson, Vitaly Richter, Florian K. |
| contents | Van der Waerden's theorem, published in Nieuw. Arch. Wisk. 15 (1927), acted as a catalyst for major further developments in Ramsey theory. In this survey, we delve into the legacy of this mathematical gem, tracing its historical origin, exploring its wide-ranging connections across research areas, and highlighting some of the important results it has inspired. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25922 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Van der Waerden's theorem on arithmetic progressions -- a survey of some historical and modern developments Bergelson, Vitaly Richter, Florian K. Combinatorics Dynamical Systems Number Theory 05D10, 05-02, 11B30, 37B20 Van der Waerden's theorem, published in Nieuw. Arch. Wisk. 15 (1927), acted as a catalyst for major further developments in Ramsey theory. In this survey, we delve into the legacy of this mathematical gem, tracing its historical origin, exploring its wide-ranging connections across research areas, and highlighting some of the important results it has inspired. |
| title | Van der Waerden's theorem on arithmetic progressions -- a survey of some historical and modern developments |
| topic | Combinatorics Dynamical Systems Number Theory 05D10, 05-02, 11B30, 37B20 |
| url | https://arxiv.org/abs/2603.25922 |