most citedLow-lying zeros of quadratic Dirichlet -functions: A transition in the Ratios Conjecture

9 citations · 9 across the 1 of their papers we have counts for

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2 papers

math.NT2017

On the Lang-Trotter conjecture for two elliptic curves

Amir Akbary, James Parks

Following Lang and Trotter we describe a probabilistic model that predicts the distribution of primes with given Frobenius traces at for two fixed elliptic curves over $\ma…

math.NT2017★ 9 cited

Low-lying zeros of quadratic Dirichlet -functions: A transition in the Ratios Conjecture

Daniel Fiorilli, James Parks, Anders Södergren

We study the -level density of low-lying zeros of quadratic Dirichlet -functions by applying the -functions Ratios Conjecture. We observe a transition in the main term as…