3 citations · 8 across the 16 of their papers we have counts for
11 papers · 1 filter
Gross-Zagier formula for the cases of Sylvester's conjecture
Hongbo Yin
In \cite{Yin26}, the author constructed some CM points on the elliptic curves for primes and , which give rational poi…
A proof of the cases of Sylvester's conjecture on cube sums
Hongbo Yin
In this paper, we prove that every prime which is congruent to modulo is the sum of two rational cubes. This is of Sylvester's conjecture which has a history of…
Central values of congruent number elliptic curves
Xuejun Guo, Dongxi Ye, Hongbo Yin
Let be the congruent number elliptic curve , where is square-free and not divisible by primes . In this paper, we prove that ca…
On the case of Sylvester Conjecture
Hongbo Yin
Let be a prime. In this paper we give a sufficient condition such that at least one of and is the sum of two rational cubes. This is the first general r…
Cube sums of form and II
Jie Shu, Hongbo Yin
Let be a prime. We prove that both and are cube sums. We also establish some explicit Gross-Zagier formulae and investigate the 3 part full BSD conj…
Waldspurger's period integral for newforms
Yueke Hu, Jie Shu, Hongbo Yin
In this paper we discuss Waldspurger's local period integral for newforms in new cases. The main ingredient is the work \cite{HN18} on Waldspurger's period integral using the minim…