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feat(ErdosProblems): 152 #1501
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feat(ErdosProblems): 152 #1501
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mo271
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Thanks, looks good
Please use latex markdown for the docstrings!
YaelDillies
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Thanks!
Perhaps actually add a TODO in the file, so it is not forgotten |
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There already is a TODO |
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Ah, great, I just didn't see it at the top of the file (because I usually put it at the bottom), now I see it... |
Co-authored-by: Moritz Firsching <firsching@google.com>
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@mo271 Is it a convention to use $$ instead of backticks in this repository? I am always using backticks in all my PRs to this repo, but I am happy to change it. |
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You should use $$ for latex and ` for lean. Whether you write the docstring in latex or in Lean depends on how far the formal and informal statements are |
Closes google-deepmind#389 Some remarks: 1. In the paper [ESS94] On Sum Sets of Sidon Sets, the authors formulate this conjecture by using limit, which will be equivalent to the formulation on the website. The limit formulation is easier to formalize and this is why I defined the function `f`. This definition of `f` also makes it easier to talk about the growth rate. 2. For the conjecture related to infinite Sidon sets, one needs the results in the PR google-deepmind#1481, so I left it as a TODO. <img width="1052" height="413" alt="Screenshot 2026-01-06 at 1 40 26 AM" src="https://github.com/user-attachments/assets/28b211a9-0c66-4089-972e-a722939ffc45" /> --------- Co-authored-by: Moritz Firsching <firsching@google.com>
Closes #389
Some remarks:
f. This definition offalso makes it easier to talk about the growth rate.