Inverse Theorems for Point-Sphere Incidences over Finite Fields

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Shalender Singh, Vishnu Priya Singh
Cited by: 0

Abstract

Let Q be a nondegenerate quadratic form on $\mathbb F_q^d$, with q odd & $d\ge2$. We prove a two-scale inverse theory for point-sphere incidences. At the maximal-incidence endpoint, put $μ=1-I(P,S)/(|P||S|)$. If $μ

Fields of Study & Subjects

Limits and Structures in Graph Theory Advanced Combinatorial Mathematics Analytic Number Theory Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
29 January 2026
Language
EN
Document type
Preprint