Counting rational points on the sphere with bounded denominator

2024/04/02 by Dubi Kelmer, Kelmer, Dubi
Computer Science · Mathematics · #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #Polynomial and algebraic computation #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2404.02114

openalex publication_date 2024/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an optimal bound for the remainder when counting the number of rational points on the n-dimensional sphere with bounded denominator for any n≥ 2.

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