Construction and non-vanishing of a family of vector-valued Siegel Poincar\'e series

S Žunar - arXiv preprint arXiv:2405.02966, 2024 - arxiv.org
Using Poincar\'e series of $ K $-finite matrix coefficients of integrable antiholomorphic
discrete series representations of $\mathrm {Sp} _ {2n}(\mathbb R) $, we construct a …

On Poincaré series of half-integral weight

S Žunar - Glasnik matematički, 2018 - hrcak.srce.hr
We use Poincaré series of K-finite matrix coefficients of genuine integrable representations
of the metaplectic cover of SL2 (ℝ) to construct a spanning set for the space of cusp forms …

On the non-vanishing of L-functions associated to cusp forms of half-integral weight

S Žunar - The Ramanujan Journal, 2020 - Springer
On the non-vanishing of L-functions associated to cusp forms of half-integral weight | SpringerLink
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Non-vanishing of vector-valued Poincaré series

S Žunar - Journal of number theory, 2021 - Elsevier
We prove a vector-valued version of Muić's integral non-vanishing criterion for Poincaré
series on the upper half-plane H. Moreover, we give an accompanying result on the …

On the Schwartz space

G Muić, S Žunar - Monatshefte für Mathematik, 2020 - Springer
For a connected reductive group G defined over a number field k, we construct the Schwartz
space S (G (k) \ G (A)) S (G (k)\G (A)). This space is an adelic version of Casselman's …

Neponištavanja Poincaréovih redova na metaplektičkoj grupi i primjene

S Žunar - 2018 - repozitorij.unizg.hr
Sažetak U ovoj se disertaciji proučava neponištavanje Poincaréovih redova na
metaplektičkom natkrivaču,\(SL_2 (\mathbb {R})^{\sim}\), grupe\(SL_2 (\mathbb {R})\) i …