18 citations · 47 across the 12 of their papers we have counts for
12 papers
Average analytic rank for the -functions of the elliptic curves
Chantal David, Lucile Devin, Alessandro Fazzari +1
We study the average analytic rank in the family of -functions associated with the elliptic curves , as varies over fourth-power-free odd integ…
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 -functions of prime level tending to infinity. Generalizing the influential work of Iwaniec, Lu…
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 -functions attached to the CM elliptic curve , for each odd and square-free integer . Specifically, upon…
Exceptional biases in counting primes over functions fields
Alexandre Bailleul, Lucile Devin, Daniel Keliher +1
We study how often exceptional configurations of irreducible polynomials over finite fields occur in the context of prime number races and Chebyshev's bias. In particular, we show…
Extending the unconditional support in an Iwaniec-Luo-Sarnak family
Lucile Devin, Daniel Fiorilli, Anders Södergren
We study the harmonically weighted one-level density of low-lying zeros of -functions in the family of holomorpic newforms of fixed even weight and prime level tending t…
Lemke Oliver and Soundararajan bias for consecutive sums of two squares
Chantal David, Lucile Devin, Jungbae Nam +1
In a surprising recent work, Lemke Oliver and Soundararajan noticed how experimental data exhibits erratic distributions for consecutive pairs of primes in arithmetic progressions,…
Discrepancies in the distribution of Gaussian primes
Lucile Devin
Motivated by questions of Fouvry and Rudnick on the distribution of Gaussian primes, we develop a very general setting in which one can study inequities in the distribution of anal…
Low-lying zeros in families of holomorphic cusp forms: the weight aspect
Lucile Devin, Daniel Fiorilli, Anders Södergren
We study low-lying zeros of -functions attached to holomorphic cusp forms of level and large weight. In this family, the Katz--Sarnak heuristic with orthogonal symmetry type…
Limiting properties of the distribution of primes in an arbitrarily large number of residue classes
Lucile Devin
We generalize current known distribution results on Shanks--Rényi prime number races to the case where arbitrarily many residue classes are involved. Our method handles both the cl…
Chebyshev's bias for products of irreducible polynomials
Lucile Devin, Xianchang Meng
For any , this paper studies the number of polynomials having irreducible factors (counted with or without multiplicities) in among different arithme…
Chebyshev's bias for analytic L-functions
Lucile Devin
In this paper we discuss the generalizations of the concept of Chebyshev's bias from two perspectives. First we give a general framework for the study of prime number races and Che…
On the congruence class modulo prime numbers of the number of rational points of a variety
Lucile Devin
Let be a scheme of finite type over . For the set of prime numbers, let be the number of -points of $X/\mathbf{F}_{p}…