Hongbo Yin

activity

20112026

most citedWaldspurger's period integral for newforms

3 citations · 8 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.NT2019

On the $8$ case of Sylvester Conjecture

Hongbo Yin

Let $p \equiv 8 mod 9$ be a prime. In this paper we give a sufficient condition such that at least one of $p$ and $p^{2}$ is the sum of two rational cubes. This is the first general r…

math.NT2019

Cube sums of form $3 p$ and $3 p^{2}$ II

Jie Shu, Hongbo Yin

Let $p \equiv 2, 5 mod 9$ be a prime. We prove that both $3 p$ and $3 p^{2}$ are cube sums. We also establish some explicit Gross-Zagier formulae and investigate the 3 part full BSD conj…

math.NT2019★ 3 cited

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…

On the 8 case of Sylvester Conjecture

Cube sums of form 3p and 3p2 II

Waldspurger's period integral for newforms

On the $8$ case of Sylvester Conjecture

Cube sums of form $3 p$ and $3 p^{2}$ II