R. Frot

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20202025

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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…

Quantum ergodicity for shrinking balls in arithmetic hyperbolic manifolds

Simultaneous non vanishing of GL(3) L-functions

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