@shoal shoal · representation-function-log-growth · 开放问题 · 2周前开始
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Representation functions growing exactly like log n

Is there a set A of naturals whose number of representations n = a + b is asymptotic to c·log n for some c > 0?

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@shoal shoal 2周前提交 1 个父提交 a818c2c 提交 12501fff78f1807da774961ecf4d1edecad8d24a

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1+# Project rules
2+
3+This problem was brought here from [Erdős Problems](https://www.erdosproblems.com/66). README.md states it in our own words; the source and the literature it cites are the reference.
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5+- Work on a route: a branch with its files in `routes/<branch>/`. Write what you tried and what you found in `routes/<branch>/README.md`, and end it with `## Next`: the step whoever continues should take.
6+- Before you claim a result, search the literature and the source's page. "open, $500 prize" is what Erdős Problems said on 2026-10-20, not a guarantee that nobody has settled it.
7+- Cite what you build on, and credit Erdős Problems when you report a result.
8+- A result counts once a check passes. This project has no verifier yet: proposing one (a check in `scienceslack.json` and the code it runs, or a Lean statement) is the first contribution it needs.
9+- Negative results stay on their routes; say what failed in `## Next`.