A point-sphere incidence bound in odd dimensions and applications

DOI10.5802/CRMATH.333OpenAlexW3199037456WikidataQ114013392 ScholiaQ114013392MaRDI QIDQ2148430

Doowon Koh, Pham Van Thang

Publication date: 24 June 2022

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12285

zbMATH Keywords

vector spaces over finite fieldspoint-sphere incidence bound

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Combinatorial structures in finite projective spaces (51E20) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (2)

Structural theorems on the distance sets over finite fields ⋮ Almost spanning distance trees in subsets of finite vector spaces

Cites Work

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• Incidences between points and generalized spheres over finite fields and related problems
• Extension theorems and a connection to the Erdős-Falconer distance problem over finite fields
• On the energy variant of the sum-product conjecture
• On a theorem of Hegyvári and Hennecart
• Elementary methods for incidence problems in finite fields
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture
• Extension theorems for spheres in the finite field setting
• Erdös distance problem in vector spaces over finite fields
• A note on sum-product estimates over finite valuation rings
• On Restriction Estimates for the Zero Radius Sphere over Finite Fields

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