Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type \(E_{7,3}\)

DOI10.1016/j.jnt.2023.01.010OpenAlexW4322505874MaRDI QIDQ2696057

Henry H. Kim, Hidenori Katsurada

Publication date: 6 April 2023

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

Full work available at URL: https://arxiv.org/abs/2207.03089

zbMATH Keywords

Koecher-Maass seriesIkeda-type lift

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other groups and their modular and automorphic forms (several variables) (11F55) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

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• Period of the Ikeda type lift for the exceptional group of type \(E_{7,3}\)
• Exceptional modular form of weight 4 on an exceptional domain contained in \(\mathbb{C}^{27}\)
• Explicit formulas for the twisted Koecher-Maaß series of the Duke-Imamoglu-Ikeda lift and their applications
• An exceptional arithmetic group and its Eisenstein series
• Cusp forms on the exceptional group of type
• Linear dependence of certain L -values of half-integral weight modular forms
• Les nombres de Tamagawa de certains groupes exceptionnels
• Special values of Koecher-Maass series of Siegel cusp forms.
• Higher level cusp forms on exceptional group of type \(E_7\)

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