3 papers
math.NT2024
Construction and non-vanishing of a family of vector-valued Siegel Poincaré series
Sonja Žunar
Using Poincaré series of -finite matrix coefficients of integrable antiholomorphic discrete series representations of , we construct a spanning…
math.NT2020
Non-vanishing of vector-valued Poincaré series
Sonja Žunar
We prove a vector-valued version of Muić's integral non-vanishing criterion for Poincaré series on the upper half-plane . Moreover, we give an accompanying result on…
math.NT2018
On the non-vanishing of L-functions associated to cusp forms of half-integral weight
Sonja Žunar
We prove a strengthening of Muić's integral non-vanishing criterion for Poincaré series on unimodular locally compact Hausdorff groups and use it to prove a result on non-vanishing…