scientific article; zbMATH DE number 5252138

zbMath1140.11027arXivmath/0609095MaRDI QIDQ5448031

Stephan Baier

Publication date: 20 March 2008

Full work available at URL: https://arxiv.org/abs/math/0609095

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

elliptic curveaverageLang-Trotter conjecturetrace of Frobenius

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Elliptic curves over global fields (11G05) Estimates on character sums (11L40)

Related Items (15)

Frobenius distributions of elliptic curves in short intervals on average ⋮ Averages of elliptic curve constants ⋮ An average asymptotic for the number of extremal primes of elliptic curves ⋮ Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height ⋮ Lang–Trotter revisited ⋮ The Sato-Tate distribution in families of elliptic curves with a rational parameter of bounded height ⋮ Lang–Trotter and Sato–Tate distributions in single and double parametric families of elliptic curves ⋮ Koblitz's conjecture on average for elliptic curves over abelian number fields of square-free conductor ⋮ Distribution of Farey fractions in residue classes and Lang–Trotter conjectures on average ⋮ Primes, elliptic curves and cyclic groups ⋮ Moments of the error term in the Sato-Tate law for elliptic curves ⋮ The Sato-Tate distribution in thin parametric families of elliptic curves ⋮ Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average ⋮ The Sato-Tate conjecture on average for small angles ⋮ On invariants of elliptic curves on average

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