Geodesic
On some metaplectic Eisenstein series
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 105-140 
D. S. Kataev. On some metaplectic Eisenstein series. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 105-140. http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a8/
@article{ZNSL_2000_263_a8,
     author = {D. S. Kataev},
     title = {On some metaplectic {Eisenstein} series},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {105--140},
     year = {2000},
     volume = {263},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a8/}
}
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We study cubic metaplectic Eisenstein series connected with the Jacobi maximal parabolic subgroup of a symplectic group. We use the so-called $sl(2)$-triples" technique in order to evaluate the Fourier coefficients of these series. In Secs. 1 and 2, we introduce the necessary notation and study the group $\Gamma(q)$ and its subgroups in detail. In Sec. 3, we prove the main result of the present paper (Theorem 1). Section 4 is devoted to the study of the Dirichlet series appearing in Theorem 1.