On the Miyawaki lifts of Hermitian modular forms

DOI10.1016/j.jnt.2017.09.005zbMath1431.11065OpenAlexW2762076750MaRDI QIDQ1686176

Hiraku Atobe, Hisashi Kojima

Publication date: 21 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.09.005

zbMATH Keywords

Hermitian modular formsMiyawaki lifts

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms ⋮ Automorphic forms for some even unimodular lattices ⋮ Non-vanishing of Miyawaki type lifts

Cites Work

• Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
• Modular forms on half-spaces of quaternions
• Pullbacks of Hermitian Maass lifts
• On the Howe duality conjecture in classical theta correspondence
• On the lifting of hermitian modular forms
• On Euler Products and the Classification of Automorphic Representations I
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Siegel modular forms and representations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item