The Square Sieve and the Lang–Trotter Conjecture

DOI10.4153/CJM-2005-045-7zbMath1094.11021OpenAlexW2014677533WikidataQ102398982 ScholiaQ102398982MaRDI QIDQ3371960

Étienne Fouvry, M. Ram Murty, Alina Carmen Cojocaru

Publication date: 22 February 2006

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2005-045-7

zbMATH Keywords

Lang-Trotter conjectureapplications of sieve methodselliptic curves modulo \(p\)

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Applications of sieve methods (11N36) Density theorems (11R45)

Related Items (11)

SQUARE-FREE DISCRIMINANTS OF FROBENIUS RINGS ⋮ The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal ⋮ The square sieve and a Lang-Trotter question for generic abelian varieties ⋮ Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height ⋮ Unnamed Item ⋮ Small discriminants of complex multiplication fields of elliptic curves over finite fields ⋮ Distribution of Farey fractions in residue classes and Lang–Trotter conjectures on average ⋮ Arithmetic properties of coefficients of \(L\)-functions of elliptic curves ⋮ Pseudoprime reductions of elliptic curves ⋮ The number of Hecke eigenvalues of same signs ⋮ Applications of the Square Sieve to a Conjecture of Lang and Trotter for a Pair of Elliptic Curves Over the Rationals

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