On incidence bounds with Möbius hyperbolae in positive characteristic
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Publication:2066403
DOI10.1016/j.ffa.2021.101978zbMath1485.51007arXiv2104.10534OpenAlexW4200359618MaRDI QIDQ2066403
James T. Wheeler, Michael Rudnev
Publication date: 14 January 2022
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.10534
Estimates on exponential sums (11L07) Other character sums and Gauss sums (11T24) Erd?s problems and related topics of discrete geometry (52C10) Combinatorial structures in finite projective spaces (51E20)
Related Items (6)
Distribution of Distances in Five Dimensions and Related Problems ⋮ Incidences of Möbius transformations in \(\mathbb{F}_p\) ⋮ Incidences of cubic curves in finite fields ⋮ Bounds on bilinear forms with Kloosterman sums ⋮ On a girth-free variant of the Bourgain-Gamburd machine ⋮ A point-conic incidence bound and applications over \(\mathbb{F}_p\)
Cites Work
- Unnamed Item
- Unnamed Item
- On the Erdős distinct distances problem in the plane
- Incidences with curves in \(\mathbb{R}^d\)
- On the Minkowski distances and products of sum sets
- On the number of incidences between points and planes in three dimensions
- A modular Szemerédi-Trotter theorem for hyperbolas
- On incidences of lines in regular complexes
- Modular hyperbolas and bilinear forms of Kloosterman sums
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- On asymptotic formulae in some sum–product questions
- Growth in Some Finite Three-Dimensional Matrix Groups
- An improved point-line incidence bound over arbitrary fields
- NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS
- Sum-product Estimates in Finite Fields via Kloosterman Sums
- On Sets of Distances of n Points
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