18 citations · 22 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
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 the large sieve with square moduli
Stephan Baier
We prove an estimate for the large sieve with square moduli which improves a recent result of L. Zhao. Our method uses an idea of D. Wolke and some results from Fourier analysis.
The large sieve with sparse sets of moduli
Stephan Baier
Extending a method of D. Wolke, we establish a general result on the large sieve with sparse sets S of moduli which are in a sense well-distributed in arithmetic progressions. We t…