8 citations · 23 across the 6 of their papers we have counts for
6 papers
Joint distribution of Hecke eigenforms on
Didier Lesesvre, Luca Marchesini, Nicole Raulf
We prove a joint value equidistribution statement for Hecke-Maaß cusp forms on the hyperbolic three-space . This supports the conjectural statistical independence of…
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 and . For the Eisens…
Mixed moment of and -functions
Olga Balkanova, Gautami Bhowmik, Dmitry Frolenkov +1
Let run over the space of primitive cusp forms of level one and weight , . We prove an explicit formula for the mixed moment of the Hec…
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…
Double Dirichlet series and quantum unique ergodicity of weight 1/2 Eisenstein series
Yiannis N. Petridis, Nicole Raulf, Morten S. Risager
The problem of quantum unique ergodicity (QUE) of weight 1/2 Eisenstein series for Γ_0(4) leads to the study of certain double Dirichlet series involving GL2 automorphic forms and…
Quantum Limits of Eisenstein Series and Scattering states
Yiannis N. Petridis, Nicole Raulf, Morten S. Risager
We identify the quantum limits of scattering states for the modular surface. This is obtained through the study of quantum measures of non-holomorphic Eisenstein series away from t…