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20092025
most citedSurpassing the Ratios Conjecture in the 1-level density of Dirichlet -functions

31 citations · 131 across the 24 of their papers we have counts for

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Showing 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014★ 14 cited

Low-lying zeros of elliptic curve L-functions: Beyond the ratios conjecture

Daniel Fiorilli, James Parks, Anders Södergren

We study the low-lying zeros of L-functions attached to quadratic twists of a given elliptic curve E defined over . We are primarily interested in the family of all twis…

math.NT2014★ 4 cited

A conditional determination of the average rank of elliptic curves

Daniel Fiorilli

Under a hypothesis which is slightly stronger than the Riemann Hypothesis for elliptic curve -functions, we show that both the average analytic rank and the average algebraic ra…

math.NT2014

On the non-vanishing of Dirichlet -functions at the central point

Daniel Fiorilli

We investigate the consequences of natural conjectures of Montgomery type on the non-vanishing of Dirichlet -functions at the central point. We first justify these conjectures u…