Eigenvalues and congruences for the weight 3 paramodular nonlifts of levels 61, 73, and 79

DOI10.4134/jkms.j230390MaRDI QIDQ6654979

Cris Poor, Jerry Shurman, David S. Yuen

Publication date: 20 December 2024

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

congruenceHecke eigenvaluesparamodular cusp form

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Cites Work

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• Borcherds products everywhere
• The theory of Jacobi forms
• Siegel modular forms of degree two attached to Hilbert modular forms
• Cohomology of congruence subgroups of \(\text{SL}(4,\mathbb Z)\). II
• Quinary lattices and binary quaternion hermitian lattices
• On the paramodularity of typical abelian surfaces
• Dimension formulas of paramodular forms of squarefree level and comparison with inner twist
• Local newforms for \(\text{GSp}(4)\)
• Dimensions of cusp forms for \(\Gamma_0(p)\) in degree two and small weights
• A geometric Jacquet-Langlands correspondence for paramodular Siegel threefolds
• Congruences via fibered motives
• A trace formula for Jacobi forms.
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• Minimal Siegel modular threefolds
• Siegel paramodular forms of weight 2 and squarefree level
• Packet structure and paramodular forms
• THE CUSP STRUCTURE OF THE PARAMODULAR GROUPS FOR DEGREE TWO
• Paramodular cusp forms
• Computation of paramodular forms
• Quinary forms and paramodular forms
• A database of paramodular forms from quinary orthogonal modular forms
• Global liftings between inner forms of \(\mathrm{GSp}(4)\)

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