Constructs a line-free set in F_p^3 of size (p-1)^3 + (1/8)p^{3/2} - O(p), the first superlinear improvement over the hypercube.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
The paper establishes the existence of positive constants c and c_IP for the IP Szemeredi theorem over finite fields and gives strong quantitative bounds in the special cases of Roth and IP-Roth theorems.
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A superlinear improvement on line-free sets in $\mathbb{F}_p^3$
Constructs a line-free set in F_p^3 of size (p-1)^3 + (1/8)p^{3/2} - O(p), the first superlinear improvement over the hypercube.
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On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields
The paper establishes the existence of positive constants c and c_IP for the IP Szemeredi theorem over finite fields and gives strong quantitative bounds in the special cases of Roth and IP-Roth theorems.