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@article{Sarkozy1978,
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  journal = {Acta Mathematica Academiae Scientiarum Hungaricae},
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}

@article{KamaeMendesFrance1978,
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@article{PintzSteigerSzemeredi1988,
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@article{Lucier2006,
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@article{Rice2019,
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  archivePrefix = {arXiv},
  primaryClass = {math.NT},
  note = {Revised version: \href{https://arxiv.org/abs/1612.01760v5}{arXiv:\allowbreak1612.01760v5}, June 8, 2020}
}

@article{BloomMaynard2022,
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@article{Arala2024,
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@misc{GreenSawhney2025,
  author = {Green, Ben and Sawhney, Mehtaab},
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  archivePrefix = {arXiv},
  primaryClass = {math.NT},
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  note = {Version 2, January 10, 2025}
}

@misc{AdajarEtAl2026,
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  title = {Extensions of the {Furstenberg--S{\'a}rk{\"o}zy} theorem via the arithmetic level-$d$ inequality},
  year = {2026},
  eprint = {2605.16216},
  archivePrefix = {arXiv},
  primaryClass = {math.NT},
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  url = {https://arxiv.org/abs/2605.16216v2},
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  note = {Version 2, August 28, 2026}
}

@article{FILS1978,
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@article{Hatami2010,
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  note = {Also \href{https://arxiv.org/abs/0806.0047}{arXiv:\allowbreak0806.0047}}
}

@article{ConlonLee2017,
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@article{Sarkozy1978III,
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  title = {On difference sets of sequences of integers. {III}},
  journal = {Acta Mathematica Academiae Scientiarum Hungaricae},
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  year = {1978}
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@article{Lucier2008,
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@article{RuzsaSanders2008,
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@article{Wang2020,
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@article{Green2024,
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@article{ThornerZaman2024,
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@article{Rice2013,
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@article{Vaughan1980,
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@book{Vaughan1997,
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@article{Weyl1916,
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@misc{IntersectivePower,
  author = {{OpenAI}},
  title = {{A power saving for intersective polynomial differences with an exponent depending only on the degree}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-power-saving-for-intersective-polynomial-differences-with-an-exponent-depending-only-on-the-degree-October-5-2026/power-saving-intersective-polynomial-differences.pdf}{OAI:A-power-saving-for-intersective-polynomial-differences-with-an-exponent-depending-only-on-the-degree-October-5-2026}},
  year = {2026}
}

@misc{SquarePower,
  author = {{OpenAI}},
  title = {{A power saving for square-difference-free sets}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-power-saving-for-square-difference-free-sets-September-24-2026/paper.pdf}{OAI:A-power-saving-for-square-difference-free-sets-September-24-2026}},
  year = {2026}
}

@misc{ZeroFree,
  author = {{OpenAI}},
  title = {{The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane $\mathrm{Re}(s)>7/8$}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/The-Quasi-Riemann-Hypothesis-September-30-2026/paper.pdf}{OAI:The-Quasi-Riemann-Hypothesis-September-30-2026}},
  year = {2026}
}