Nicole Raulf

activity

20172025

collaborators

4 papers

math.NT2025

Joint distribution of Hecke eigenforms on $H^{3}$

Didier Lesesvre, Luca Marchesini, Nicole Raulf

We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space $H^{3}$ . This supports the conjectural statistical independence of…

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.NT2018

Mixed moment of $G L (2)$ and $G L (3)$ $L$ -functions

Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov +1

Let $f$ run over the space $H_{4 k}$ of primitive cusp forms of level one and weight $4 k$ , $k \in N$ . We prove an explicit formula for the mixed moment of the Hec…

math.NT2017

A Mean Value Result for a Product of GL(2) and GL(3) L-Functions

Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov +1

In this paper various analytic techniques are com- bined in order to study the average of a product of a Hecke L- function and a symmetric square L-function at the central point in…

Joint distribution of Hecke eigenforms on H3

Quantum ergodicity for shrinking balls in arithmetic hyperbolic manifolds

Mixed moment of GL(2) and GL(3) L-functions

A Mean Value Result for a Product of GL(2) and GL(3) L-Functions

Joint distribution of Hecke eigenforms on $H^{3}$

Mixed moment of $G L (2)$ and $G L (3)$ $L$ -functions