Rong Ma

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20242026

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math.NT2024

An exact way to verify whether n is a congruent number using Heegner points

Heng Chen, Rong Ma, Tuoping Du

We introduce the relationship between congruent numbers and elliptic curves, and compute the conductor of the elliptic curve $y^{2} = x^{3} - n^{2} x$ associated with it. Furthermore, we…

math.NT2024

On a kind of generilized multi-harmonic sum

Jiaqi Wang, Rong Ma

Let $p$ be an odd prime, Jianqiang Zhao has established a curious congruence $i , j , k > 0 i + j + k = p \sum \frac{1}{ij k} \equiv - 2 B_{p - 3} (mod p),$ where $B_{n}$ denotes the…