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Bibliographic Details
Main Author: Amri, Mohammed Amin
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2211.10523
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Table of Contents:
  • 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}.