A quantitative improvement for Roth's theorem on arithmetic progressions
We improve the quantitative estimate for Roth's theorem on three-term arithmetic progressions, showing that if 𝐴⊂{1,...,𝑁} contains no non-trivial three-term arithmetic progressions, then |𝐴|≪𝑁(loglog𝑁)4/log𝑁 . By the same method, we also improve the bounds in the analogous problem over 𝔽𝑞[...
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| Format: | Journal article |
| Jezik: | English |
| Izdano: |
Wiley
2016
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