Congruence class bias and the Lang-Trotter conjecture for families of elliptic curves

DOI10.2140/INVOLVE.2024.17.569MaRDI QIDQ6631529

Seraphim Jarov, Alex Khadra, Nahid Walji

Publication date: 1 November 2024

Published in: Involve (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesLang-Trotter conjecturetraces of Frobenius

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Cites Work

• Title not available (Why is that?)
• On the Lang-Trotter and Sato-Tate conjectures on average for polynomial families of elliptic curves
• Averages of elliptic curve constants
• Averaging special values of Dirichlet \(L\)-series
• Average Frobenius distributions for elliptic curves with 3-torsion
• Sums of Euler products and statistics of elliptic curves
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Lang–Trotter and Sato–Tate distributions in single and double parametric families of elliptic curves
• Distribution of Farey fractions in residue classes and Lang–Trotter conjectures on average
• Supersingular distribution on average for congruence classes of primes
• On the Distribution of Supersingular Primes
• Cyclicity of elliptic curves modulo primes in arithmetic progressions
• Average Frobenius distributions for elliptic curves with nontrivial rational torsion
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies

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