Chantal David

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math.NT2026

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…

math.NT2025

Expected Values of $L$ -functions Away from the Central Point

Chantal David, Patrick Meisner

We compute the expected value of Dirichlet $L$ -functions defined over $F_{q} [T]$ attached to cubic characters evaluated at an arbitrary $s \in (0, 1)$ . We find a transition t…

math.NT2024

Asymmetric Distribution of Extreme Values of Cubic $L$ -functions at $s = 1$

Pranendu Darbar, Chantal David, Matilde Lalin +1

We investigate the distribution of values of cubic Dirichlet $L$ -functions at $s = 1$ . Following ideas of Granville and Soundararajan for quadratic $L$ -functions, we model the distri…

Quartic Gauss sums over primes and metaplectic theta functions

Expected Values of L-functions Away from the Central Point

Asymmetric Distribution of Extreme Values of Cubic L-functions at s=1

Expected Values of $L$ -functions Away from the Central Point

Asymmetric Distribution of Extreme Values of Cubic $L$ -functions at $s = 1$