Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two

DOI10.1016/j.jnt.2011.07.002zbMath1269.11051OpenAlexW2029022644MaRDI QIDQ643545

Satoshi Wakatsuki

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.07.002

zbMATH Keywords

Selberg trace formuladimension formulaSiegel cusp form

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Prehomogeneous vector spaces (11S90)

Related Items (12)

On counting cuspidal automorphic representations for \(\mathrm{GSp(4)}\) ⋮ The dimensions of spaces of Siegel cusp forms of general degree ⋮ Dimension formulas for Siegel modular forms of level 4 ⋮ Congruences modulo 2 for dimensions of spaces of cusp forms ⋮ An explicit dimension formula for Siegel cusp forms with respect to the non-split symplectic groups ⋮ Structures and dimensions of vector valued Jacobi forms of degree two ⋮ On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 ⋮ Multiplicity formulas for discrete series representations in \(L^2(\Gamma\setminus\mathrm{Sp}(2,\mathbb R))\) ⋮ AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS ⋮ Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts ⋮ Vector-valued Siegel modular forms of weight det^k ⊗ Sym(8) ⋮ Siegel modular forms of genus 2 and level 2

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