An effective local-global principle and additive combinatorics in finite fields

DOI10.1007/S11854-023-0291-2MaRDI QIDQ6565891

Bryce Kerr, Igor E. Shparlinski, Jorge Mello

Publication date: 2 July 2024

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

heightadditive combinatoricsgeometry of numbersgeneralized arithmetic progression

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Varieties over finite and local fields (11G25) Representation functions (11B34) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• Title not available (Why is that?)
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• Modular hyperbolas and bilinear forms of Kloosterman sums
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• Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems
• Orbits of polynomial dynamical systems modulo primes
• On the Hidden Shifted Power Problem
• Orders of points in families of elliptic curves
• On the Structure of Graphs of Markoff Triples
• NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS
• Few sums, many products
• Fp is locally like ℂ

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