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

DOI10.1007/S11139-024-00884-9MaRDI QIDQ6612386

Mohammed Amin Amri

Publication date: 30 September 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

Galois representationsLang-Trotter conjectureabelian surfacesSato-Tate distribution

Mathematics Subject Classification ID

Number theory (11-XX) Differential geometry (53-XX)

Cites Work

• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Galois properties of points of finite order of elliptic curves
• The Lang-Trotter conjecture for products of non-CM elliptic curves
• The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms
• Sato–Tate distributions and Galois endomorphism modules in genus 2
• Finding meaning in error terms
• Calculation of values of 𝐿-functions associated to elliptic curves
• Arithmetic Properties of the Frobenius Traces Defined by a Rational Abelian Variety (with two appendices by J-P. Serre)
• Lang–Trotter revisited
• On Highly Composite Numbers
• Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves
• Chebotarev-Sato-Tate distribution for abelian surfaces potentially of \(\mathrm{GL}_2\)-type

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