Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts

DOI10.1007/s40687-018-0136-2zbMath1440.11074OpenAlexW2790969918WikidataQ122877972 ScholiaQ122877972MaRDI QIDQ2319749

Tomoyoshi Ibukiyama

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-018-0136-2

zbMATH Keywords

Siegel modular formcompact twistIhara liftmiddle parahoric

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (2)

On counting cuspidal automorphic representations for \(\mathrm{GSp(4)}\) ⋮ Harder's conjecture. I

Cites Work

• Dimension formulas for spaces of vector-valued Siegel cusp forms of degree two
• The theory of Jacobi forms
• On automorphic forms on the unitary symplectic group \(\mathrm{Sp}(n)\) and \(\mathrm{SL}_ 2(\mathbb R)\)
• Jacobi forms and a certain space of modular forms
• Siegel's modular forms and the arithmetic of quadratic forms
• On the graded ring of modular forms of the Siegel paramodular group of level 2
• Iwahori-spherical representations of \(\mathrm{GSp}(4)\) and Siegel modular forms of degree 2 with square-free level
• The Burkhardt group and modular forms
• Dimension formulas of paramodular forms of squarefree level and comparison with inner twist
• Local newforms for \(\text{GSp}(4)\)
• On certain arithmetical Dirichlet series
• Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms
• On zeta functions of quaternion algebras
• On the traces of Hecke operators for a normalizer of \(\Gamma_0\)(N)
• Arithmetic of alternating forms and quaternion hermitian forms
• On Siegel paramodular forms of degree 2 with small levels
• Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L -functions
• Paramodular forms of level 8 and weights 10 and 12
• Über die Darstellbarkeit von Modulformen durch Thetareihen.
• On classical Saito-Kurokawa liftings
• EULER PRODUCTS FOR CONGRUENCE SUBGROUPS OF THE SIEGEL GROUP OF GENUS 2
• Siegel modular forms and theta series attached to quaternion algebras II
• SIMPLE GRADED RINGS OF SIEGEL MODULAR FORMS, DIFFERENTIAL OPERATORS AND BORCHERDS PRODUCTS
• Arithmetical lifting and its applications
• On Siegel Modular Forms of Genus Two
• Problems in the theory of automorphic forms to Salomon Bochner in gratitude
• ON SIEGEL MODULAR VARIETIES OF LEVEL 3
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