On the Lang-Trotter conjecture

DOI10.1016/0022-314X(90)90117-AzbMath0719.14022WikidataQ123140365 ScholiaQ123140365MaRDI QIDQ2639923

Daqing Wan

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

elliptic curveLang-Trotter conjecturesupersingularityChebotarev density\(\ell \)-adic representation

Mathematics Subject Classification ID

Elliptic curves (14H52) Density theorems (11R45) Singularities of curves, local rings (14H20) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (6)

Bounds for the distribution of the Frobenius traces associated to products of non-CM elliptic curves ⋮ On Benford’s law for multiplicative functions ⋮ Modular forms and an explicit Chebotarev variant of the Brun-Titchmarsh theorem ⋮ A variant of the Bombieri–Vinogradov theorem in short intervals and some questions of Serre ⋮ Primes, elliptic curves and cyclic groups ⋮ On the Sato–Tate conjecture on average for some families of elliptic curves

Cites Work

• Explicit formulae and the Lang-Trotter conjecture
• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• Quelques applications du théorème de densité de Chebotarev
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• A bound for the least prime ideal in the Chebotarev density theorem
• Galois properties of points of finite order of elliptic curves
• Modular Forms and the Chebotarev Density Theorem
• Formes modulaires de poids $1$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Lang-Trotter conjecture