Multiplicity formulas for discrete series representations in \(L^2(\Gamma\setminus\mathrm{Sp}(2,\mathbb R))\)

DOI10.1016/j.jnt.2013.04.013zbMath1297.11036OpenAlexW2312265036MaRDI QIDQ740883

Satoshi Wakatsuki

Publication date: 9 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.04.013

zbMATH Keywords

dimension formulaautomorphic representationdiscrete series representationSiegel cusp formmultiplicity formulaArthur's \(L^{2}\)-Lefschetz trace formulathe split symplectic group of rank 2

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

On counting cuspidal automorphic representations for \(\mathrm{GSp(4)}\) ⋮ Dimension formulas for Siegel modular forms of level 4 ⋮ Equidistribution theorems for holomorphic Siegel modular forms for \(\mathrm{GSp}_4\); Hecke fields and \(n\)-level density ⋮ AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS

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