On the non-vanishing of Poincaré series on the metaplectic group

DOI10.1007/S00229-018-1011-6zbMath1425.22012arXiv1711.06481OpenAlexW2962997030MaRDI QIDQ1755517

Sonja Žunar

Publication date: 10 January 2019

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06481

zbMATH Keywords

Poincaré seriesmetaplectic group

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Semisimple Lie groups and their representations (22E46) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (4)

On the non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight ⋮ Non-vanishing of vector-valued Poincaré series ⋮ On the Schwartz space \(\mathcal{S}(G(k) \backslash G(\mathbb{A}))\) ⋮ On Poincaré series of half-integral weight

Cites Work

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• Bounds for the difference between median and mean of beta and negative binomial distributions
• On a construction of certain classes of cuspidal automorphic forms via Poincaré series
• On the cuspidal modular forms for the Fuchsian groups of the first kind
• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• Weil's representation and the spectrum of the metaplectic group
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Modular Forms

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