Zhuravlev, V. G. 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). Cited in 4 Documents 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) Keywords:odd quadratic forms; symmetric Dirichlet series; lifting of automorphic eigenforms; Euler expansion; locl zeta-functions; operators of symplectic Hecke rings; theta-series of positive definite quadratic forms; generalized Eichler-Brandt matrices; linear dependence of theta-series; Siegel modular eigenforms PDF BibTeX XML Cite \textit{V. G. Zhuravlev}, Izv. Math. 59, No. 3, 517--578 (1995; Zbl 0894.11021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 59, No. 3, 77--140 (1995) Full Text: DOI