Hongbo Yin

collaborators

4 papers

math.NT2026

Gross-Zagier formula for the $4, 7$ cases of Sylvester's conjecture

Hongbo Yin

In \cite{Yin26}, the author constructed some CM points on the elliptic curves $E_{p^{i}} : y^{2} = x^{3} + \frac{p ^{2 i}}{4}$ for primes $p \equiv 4, 7 mod 9$ and $i = 1, 2$ , which give rational poi…

math.NT2026

A proof of the $4, 7$ cases of Sylvester's conjecture on cube sums

Hongbo Yin

In this paper, we prove that every prime $p$ which is congruent to $4, 7$ modulo $9$ is the sum of two rational cubes. This is $2/3$ of Sylvester's conjecture which has a history of…

math.NT2025

Central $L$ values of congruent number elliptic curves

Xuejun Guo, Dongxi Ye, Hongbo Yin

Let $E_{n}$ be the congruent number elliptic curve $y^{2} = x^{3} - n^{2} x$ , where $n$ is square-free and not divisible by primes $p \equiv 3 (mod 4)$ . In this paper, we prove that $L (E_{n}, 1)$ ca…

cs.LG2025

A Split-Window Transformer for Multi-Model Sequence Spammer Detection using Multi-Model Variational Autoencoder

Zhou Yang, Yucai Pang, Hongbo Yin +1

This paper introduces a new Transformer, called MS $^{2}$ Dformer, that can be used as a generalized backbone for multi-modal sequence spammer detection. Spammer detection is a complex…

Gross-Zagier formula for the 4,7 cases of Sylvester's conjecture

A proof of the 4,7 cases of Sylvester's conjecture on cube sums

Central L values of congruent number elliptic curves

A Split-Window Transformer for Multi-Model Sequence Spammer Detection using Multi-Model Variational Autoencoder

Gross-Zagier formula for the $4, 7$ cases of Sylvester's conjecture

A proof of the $4, 7$ cases of Sylvester's conjecture on cube sums

Central $L$ values of congruent number elliptic curves