Lucile Devin

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20192026

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math.NT2026

Average analytic rank for the $L$ -functions of the elliptic curves $y^{2} = x^{3} - d x$

Chantal David, Lucile Devin, Alessandro Fazzari +1

We study the average analytic rank in the family of $L$ -functions $L (s, E_{d})$ associated with the elliptic curves $E_{d} : y^{2} = x^{3} - d x$ , as $d$ varies over fourth-power-free odd integ…

math.NT2025

Low-lying zeros in families of Maass form L-functions: an extended density theorem

Martin Čech, Lucile Devin, Daniel Fiorilli +2

We study the one-level density of low-lying zeros in the family of Maass form $L$ -functions of prime level $N$ tending to infinity. Generalizing the influential work of Iwaniec, Lu…

math.NT2024

One-level densities in families of Grössencharakters associated to CM elliptic curves

Chantal David, Lucile Devin, Ezra Waxman

We study the low-lying zeros of a family of $L$ -functions attached to the CM elliptic curve $E_{d} : y^{2} = x^{3} - d x$ , for each odd and square-free integer $d$ . Specifically, upon…

math.NT2019

Limiting properties of the distribution of primes in an arbitrarily large number of residue classes