37 citations · 60 across the 10 of their papers we have counts for
4 papers · 2 filters
A Remark on the Conjectures of Lang-Trotter and Sato-Tate on Average
Stephan Baier
We obtain new average results on the conjectures of Lang-Trotter and Sato-Tate about elliptic curves.
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…
On Primes Represented by Quadratic Polynomials
Stephan Baier, Liangyi Zhao
This is a survey article on the Hardy-Littlewood conjecture about primes in quadratic progressions. We recount the history and quote some results approximating this hitherto unreso…
On Primes in Quadratic Progressions
Stephan Baier, Liangyi Zhao
We verify the Hardy-Littlewood conjecture on primes in quadratic progressions on average. The results in the present paper significantly improve those of a previous paper of the au…