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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★ 18 cited
On the Low-lying zeros of Hasse-Weil L-functions for Elliptic Curves
Stephan Baier, Liangyi Zhao
In this paper, we obtain an unconditional density theorem concerning the low-lying zeros of Hasse-Weil L-functions for a family of elliptic curves. From this together with the Riem…