Problems on infinite sumset configurations in the integers and beyond
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913835527438336 |
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| author | Kra, Bryna Moreira, Joel Richter, Florian K. Robertson, Donald |
| author_facet | Kra, Bryna Moreira, Joel Richter, Florian K. Robertson, Donald |
| contents | In contrast to finite arithmetic configurations, relatively little is known about which infinite patterns can be found in every set of natural numbers with positive density. Building on recent advances showing infinite sumsets can be found, we explore numerous open problems and obstructions to finding other infinite configurations in every set of natural numbers with positive density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06197 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Problems on infinite sumset configurations in the integers and beyond Kra, Bryna Moreira, Joel Richter, Florian K. Robertson, Donald Combinatorics Number Theory 05D10, 11B13, 11B30, 05-02, 11-02, 00A27, 37A05 In contrast to finite arithmetic configurations, relatively little is known about which infinite patterns can be found in every set of natural numbers with positive density. Building on recent advances showing infinite sumsets can be found, we explore numerous open problems and obstructions to finding other infinite configurations in every set of natural numbers with positive density. |
| title | Problems on infinite sumset configurations in the integers and beyond |
| topic | Combinatorics Number Theory 05D10, 11B13, 11B30, 05-02, 11-02, 00A27, 37A05 |
| url | https://arxiv.org/abs/2311.06197 |