Counting integral points of affine hypersurfaces

2023/11/09 by Per Salberger, Salberger, Per · 2 citations
Mathematics · #11G35 #14G05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2311.05561

openalex publication_date 2023/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give uniform upper bounds for the number of integral points of bounded height on affine hypersurfaces, which generalise earlier results of Browning,Heath-Brown and the author.

Cited by

• A geometric determinant method and geometric dimension growth
• Geometric Littlewood-Offord problems via lattice point counting

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