Paramodular forms of level 8 and weights 10 and 12

DOI10.1142/S1793042118500288zbMath1420.11084OpenAlexW2743840495MaRDI QIDQ3133125

David S. Yuen, Cris Poor, Ralf Schmidt

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1142/s1793042118500288

zbMATH Keywords

Siegel modular formautomorphic representationparamodular

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Jacobi forms (11F50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Siegel paramodular forms of weight 2 and squarefree level, Packet structure and paramodular forms, Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts, Paramodular forms of level 16 and supercuspidal representations

Cites Work

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• Some results on Bessel functionals for GSp(4)
• Jacobi forms and a certain space of modular forms
• A certain Dirichlet series attached to Siegel modular forms of degree two
• On the local Langlands conjecture for GL(2)
• Iwahori-spherical representations of \(\mathrm{GSp}(4)\) and Siegel modular forms of degree 2 with square-free level
• Jacobi forms that characterize paramodular forms
• Local newforms for \(\text{GSp}(4)\)
• Dimensions of cusp forms for \(\Gamma_0(p)\) in degree two and small weights
• Automorphic forms on GL (2)
• On some results of Atkin and Lehner
• COMPUTATIONS OF SPACES OF PARAMODULAR FORMS OF GENERAL LEVEL
• Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L -functions
• Siegel modular forms and theta series attached to quaternion algebras
• On classical Saito-Kurokawa liftings
• Bessel Models for Lowest Weight Representations of
• A trace formula for Jacobi forms.
• Some Orbital Integrals and a Technique for Counting Representations of GL 2(F)
• Siegel modular forms and theta series attached to quaternion algebras II
• Restriction of Siegel modular forms to modular curves
• Packet structure and paramodular forms
• The Saito-Kurokawa lifting and functoriality
• Arithmetical lifting and its applications
• THE CUSP STRUCTURE OF THE PARAMODULAR GROUPS FOR DEGREE TWO
• Paramodular cusp forms
• Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
• On Siegel Modular Forms of Genus Two
• On the computation of local components of a newform
• Paramodular abelian varieties of odd conductor
• ON MODULAR FORMS FOR THE PARAMODULAR GROUPS
• Siegel modular forms and representations