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

2018/09/27 by Žunar, Sonja
#11F37 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1809.10390

Abstract

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 of L-functions associated to cusp forms of half-integral weight.

Related

• Non-vanishing of L-functions associated to cusp forms of half-integral weight
• On the non-vanishing of modular L-values and fourier coefficients of cusp forms
• Non-Vanishing of L-Functions of Vector-Valued Modular Forms
• Non-vanishing of vector-valued Poincaré series
• Construction and non-vanishing of a family of vector-valued Siegel Poincaré series