36 citations · 143 across the 25 of their papers we have counts for
29 papers · 1 filter
Asymmetric Distribution of Extreme Values of Cubic -functions at
Pranendu Darbar, Chantal David, Matilde Lalin +1
We investigate the distribution of values of cubic Dirichlet -functions at . Following ideas of Granville and Soundararajan for quadratic -functions, we model the distri…
Quartic Gauss sums over primes and metaplectic theta functions
Chantal David, Alexander Dunn, Alia Hamieh +1
We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve ov…
Expected Values of -functions Away from the Central Point
Chantal David, Patrick Meisner
We compute the expected value of Dirichlet -functions defined over attached to cubic characters evaluated at an arbitrary . We find a transition t…
On the vanishing of twisted -functions of elliptic curves over rational function fields
Antoine Comeau-Lapointe, Chantal David, Matilde Lalin +1
We investigate in this paper the vanishing at of the twisted -functions of elliptic curves defined over the rational function field (where $\mathbb{F…
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,…
One-level density and non-vanishing for cubic -functions over the Eisenstein field
Chantal David, Ahmet Muhtar Guloglu
We study the one-level density for families of L-functions associated with cubic Dirichlet characters defined over the Eisenstein field. We show that the family of -functions as…