论文标题
一类非生成阿贝尔表面的朗威特猜想
On the Lang-Trotter conjecture for a class of non-generic abelian surfaces
论文作者
论文摘要
在本文中，我们在Chebotarev-sato-tate分布中为Abelian表面$ \ Mathbb {Q} $ - 不适合$ \ operline {\ Mathbb {q} $ - IS基因非cm-elliptic curves curves，由作者建立了fustrie2的\ ciite [fusterie2 cy] [fustriands in fust in funefore，chebotarev-sato-tate分布中的一个构想均匀的错误术语。结果，我们为最近在\ cite {chen}中进行了普遍的Lang-Trotter猜想提供了直接的证明。
In the present article, we formulate a conjectural uniform error term in the Chebotarev-Sato-Tate distribution for abelian surfaces $\mathbb{Q}$-isogenous to a product of not $\overline{\mathbb{Q}}$-isogenous non-CM-elliptic curves, established by the author in \cite[Theorem 1.1]{Amri22}. As a consequence, we provide a direct proof to the generalized Lang-Trotter conjecture recently formulated and studied in \cite{Chen}.
