3 citations · 3 across the 3 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2008
A refined version of the Lang-Trotter Conjecture
Stephan Baier, Nathan Jones
Let be an elliptic curve defined over the rational numbers and a fixed integer. Using a probabilistic model consistent with the Chebotarev theorem for the division fields o…
math.NT2007★ 3 cited
Averages of elliptic curve constants
Nathan Jones
We compute the averages over elliptic curves of the constants occurring in the Lang-Trotter conjecture, the Koblitz conjecture, and the cyclicity conjecture. The results obtained c…
math.NT2007
A bound for the "torsion conductor" of a non-CM elliptic curve
Nathan Jones
Given a non-CM elliptic curve E over Q, define the ``torsion conductor'' m_E to be the smallest positive integer so that the Galois representation on the torsion of E has image Pi^…