Twisted Koecher-Maass series of the Ikeda type lift for the exceptional group of type $E_{7,3}$
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Publication:6404238
DOI10.1016/J.JNT.2023.01.010zbMath1530.11049arXiv2207.03089MaRDI QIDQ6404238
Henry H. Kim, Hidenori Katsurada
Publication date: 7 July 2022
Abstract: We compute the twisted Koecher-Maass series of the first and second kind of the Ikeda type lift for the exceptional group of type $E_{7,3}$. As an application, we obtain their rationality result.
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)
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