Academic Journal

On the Lang–Trotter conjecture for a class of non-generic abelian surfaces.

التفاصيل البيبلوغرافية
العنوان: On the Lang–Trotter conjecture for a class of non-generic abelian surfaces.
المؤلفون: Amri, Mohammed Amin
المصدر: Ramanujan Journal; Sep2024, Vol. 65 Issue 1, p69-79, 11p
مستخلص: In the present article, we formulate a conjectural uniform error term in the Chebotarev–Sato–Tate distribution for abelian surfaces Q -isogenous to a product of not Q ¯ -isogenous non-CM-elliptic curves, established by the author in Amri (Eur J Math, 2023. https://doi.org/10.1007/s40879-023-00682-5, Theorem 1.1). As a consequence, we provide a conditional direct proof to the generalized Lang–Trotter conjecture recently formulated and studied in Chen et al. (Ramanujan J, 2022). [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:13824090
DOI:10.1007/s11139-024-00884-9