A Refined Version of the Lang-Trotter Conjecture

DOI10.1093/imrn/rnn136zbMath1188.11027arXiv0801.3946OpenAlexW2026763317WikidataQ123137343 ScholiaQ123137343MaRDI QIDQ3613888

Nathan Jones, Stephan Baier

Publication date: 16 March 2009

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3946

zbMATH Keywords

elliptic curveerror termLang-Trotter conjectureSato-Tate conjectureChebotarev density theoremtrace of Frobenius

Mathematics Subject Classification ID

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

Related Items (5)

Lang–Trotter and Sato–Tate distributions in single and double parametric families of elliptic curves ⋮ The Lang-Trotter conjecture for products of non-CM elliptic curves ⋮ Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves ⋮ Primes, elliptic curves and cyclic groups ⋮ On the Lang-Trotter conjecture for two elliptic curves

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