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A basis of eigenfunctions of Hecke operators in the theory of modular forms of genus \(n\). (English) Zbl 0492.10023

Translation from Mat. Sb., N. Ser. 116(158), 603–604 (Russian) (1981; Zbl 0482.10029).

MSC:

11F25 Hecke-Petersson operators, differential operators (one variable)
11F46 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
11E45 Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
11F27 Theta series; Weil representation; theta correspondences
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