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Distances from points to planes

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Publication:4614191
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DOI10.4064/aa171110-23-8zbMath1410.52011arXiv1711.04010OpenAlexW2964181676MaRDI QIDQ4614191

Pham Van Thang, Alexander Iosevich, Philipp Birklbauer

Publication date: 30 January 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.04010


zbMATH Keywords

Fourier analysisfinite fieldslarge setsErdős-Falconer distances


Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10)


Related Items (2)

On k ‐point configuration sets with nonempty interior ⋮ Configuration sets with nonempty interior




Cites Work

  • Pinned distance sets, \(k\)-simplices, Wolff's exponent in finite fields and sum-product estimates
  • Distinct distances between points and lines in \(\mathbb{F}_q^2\)
  • A sum-product estimate in finite fields, and applications
  • Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
  • Erdös distance problem in vector spaces over finite fields




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