Modular forms on indefinite orthogonal groups of rank three

DOI10.1016/j.jnt.2021.09.011OpenAlexW3210326165WikidataQ114156714 ScholiaQ114156714MaRDI QIDQ2162807

Aaron Pollack, Gordan Savin

Publication date: 9 August 2022

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

Full work available at URL: https://arxiv.org/abs/1910.06502

zbMATH Keywords

Eisenstein seriesquaternionic modular formsnext-to-minimal representation

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Modular forms of half-integral weight on exceptional groups ⋮ Theta lifts to certain cohomological representations of indefinite orthogonal groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small representations, string instantons, and Fourier modes of Eisenstein series
• Global uniqueness of small representations
• Confluent hypergeometric functions on tube domains
• Dual pair \(G_{\mathcal J}\times PGL_ 2 G_{\mathcal J}\) is the automorphism group of the Jordan algebra \({\mathcal J}\)
• On the automorphic theta representation for simply laced groups
• Analysis on the minimal representation of O(\(p,\) \(q\)). III: Ultrahyperbolic equations on \(\mathbb{R}^{p-1,q-1}\)
• Lifting laws and arithmetic invariant theory
• Fourier coefficients of modular forms on \(G_2\).
• Fourier coefficients of an orthogonal Eisenstein series
• A quaternionic Saito-Kurokawa lift and cusp forms on \(G_2\)
• The Fourier expansion of modular forms on quaternionic exceptional groups
• Exceptional modular form of weight 4 on an exceptional domain contained in \(\mathbb{C}^{27}\)
• Dichotomy for generic supercuspidal representations ofG₂
• The Schrödinger model for the minimal representation of the indefinite orthogonal group 𝑂(𝑝,𝑞)
• On quaternionic discrete series representations, and their continuations.
• Functional Equations of Whittaker Functions on p-Adic Groups
• An Automorphic Theta Module for Quaternionic Exceptional Groups
• A Siegel-Weil formula for exceptional groups
• THE MINIMAL MODULAR FORM ON QUATERNIONIC
• D 4 modular forms

This page was built for publication: Modular forms on indefinite orthogonal groups of rank three