KAKEYA SETS OVER NON‐ARCHIMEDEAN LOCAL RINGS

DOI10.1112/S002557931300003XzbMath1335.13017arXiv1112.3381MaRDI QIDQ5326083

Evan P. Dummit, Márton Hablicsek

Publication date: 31 July 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3381

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Formal power series rings (13F25) Other nonanalytic theory (11S85)

Related Items (8)

Proof of the Kakeya set conjecture over rings of integers modulo square-free N ⋮ The 𝑝-adic Kakeya conjecture ⋮ The Kakeya conjecture on local fields of positive characteristic ⋮ Variants of the Kakeya problem over an algebraically closed field ⋮ Kakeya configurations in Lie groups and homogeneous spaces ⋮ Finite field restriction estimates based on Kakeya maximal operator estimates ⋮ KAKEYA‐TYPE SETS IN LOCAL FIELDS WITH FINITE RESIDUE FIELD ⋮ Almost all non-archimedean Kakeya sets have measure zero

Cites Work

• On the size of Kakeya sets in finite fields
• THE KAKEYA SET AND MAXIMAL CONJECTURES FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS

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