A short proof of Erdős's $B+C$ conjecture
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918414500495360 |
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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 | We give a short proof of the fact that every set of natural numbers with positive upper Banach density contains the sum of two infinite sets. The approach simplifies earlier existing proofs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27258 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A short proof of Erdős's $B+C$ conjecture Kra, Bryna Moreira, Joel Richter, Florian K. Robertson, Donald Dynamical Systems Combinatorics Number Theory 05D10, 11B13, 37A44, 11B30 We give a short proof of the fact that every set of natural numbers with positive upper Banach density contains the sum of two infinite sets. The approach simplifies earlier existing proofs. |
| title | A short proof of Erdős's $B+C$ conjecture |
| topic | Dynamical Systems Combinatorics Number Theory 05D10, 11B13, 37A44, 11B30 |
| url | https://arxiv.org/abs/2603.27258 |