Cube sums of form 3p and 3p² II

2019/09/30 by Jie Shu, Shu, Jie, Hongbo Yin +1
Engineering · Mathematics · #11G05 #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #Point processes and geometric inequalities #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1909.13800

openalex publication_date 2019/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p≡ 2,5\mod 9 be a prime. We prove that both 3p and 3p² are cube sums. We also establish some explicit Gross-Zagier formulae and investigate the 3 part full BSD conjecture of the related elliptic curves.

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