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Multiplicative arithmetic of theta-series of odd quadratic forms. (English. Russian original) Zbl 0894.11021
Izv. Math. 59, No. 3, 517-578 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 59, No. 3, 77-140 (1995).

MSC:
11F27 Theta series; Weil representation; theta correspondences
11F46 Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms
11F30 Fourier coefficients of automorphic forms
11E12 Quadratic forms over global rings and fields
11F66 Langlands \(L\)-functions; one variable Dirichlet series and functional equations
11F60 Hecke-Petersson operators, differential operators (several variables)
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