Archimedean aspects of Siegel modular forms of degree 2
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Publication:680346
DOI10.1216/RMJ-2017-47-7-2381zbMath1430.11062MaRDI QIDQ680346
Publication date: 23 January 2018
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1514084432
Siegel modular formsLanglands parametersHodge numbersdiscrete series representationsArtin representations
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items (16)
On counting cuspidal automorphic representations for \(\mathrm{GSp(4)}\) ⋮ Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two ⋮ Unnamed Item ⋮ Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions ⋮ 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 ⋮ On the images of Galois representations attached to low weight Siegel modular forms ⋮ Higher level cusp forms on exceptional group of type \(E_7\) ⋮ Paramodular forms in CAP representations of ${\rm GSp}(4)$ ⋮ On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\) ⋮ On vector-valued Siegel modular forms of degree 2 and weight \((j,2)\) ⋮ Paramodular forms coming from elliptic curves ⋮ Abelian surfaces over totally real fields are potentially modular ⋮ Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ Higher coherent cohomology and \(p\)-adic modular forms of singular weights ⋮ Sato-Tate equidistribution for families of automorphic representations through the stable trace formula
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