R. Frot

activity

20202025

collaborators

4 papers

math.NT2025

Explicit bounds for the graphicality of the prime gap sequence

Keshav Aggarwal, Robin Frot, Haozhe Gou +1

We establish explicit unconditional results on the graphic properties of the prime gap sequence. Let $p_{n}$ denote the $n$ -th prime number (with $p_{0} = 1$ ) and $\mathrm{PD}_n = (p_\el…

math.NT2021

Non vanishing of products of twisted $GL (3)$ $L$ -functions

Robin Frot

In this paper, we prove that if the Fourier coefficients of a $SL (3, Z)$ Hecke--Maaß cusp form $π$ are not too correlated with additive characters, then there exis…

math.NT2020

Quantum ergodicity for shrinking balls in arithmetic hyperbolic manifolds

Dimitrios Chatzakos, Robin Frot, Nicole Raulf

We study a refinement of the quantum unique ergodicity conjecture for shrinking balls on arithmetic hyperbolic manifolds, with a focus on dimensions $2$ and $3$ . For the Eisens…

math.NT2020

Simultaneous non vanishing of $G L (3)$ $L$ -functions

Robin Frot

The main objective of this article is to compute a first moment for product of Dirichlet and twisted self-dual $G L (3)$ $L$ -functions. We discuss the possible simultaneous non vanis…

Explicit bounds for the graphicality of the prime gap sequence

Non vanishing of products of twisted GL(3) L-functions

Quantum ergodicity for shrinking balls in arithmetic hyperbolic manifolds

Simultaneous non vanishing of GL(3) L-functions

Non vanishing of products of twisted $GL (3)$ $L$ -functions

Simultaneous non vanishing of $G L (3)$ $L$ -functions