Abstract
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 \(\Gamma (\mathfrak{q})\)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. Bibliography: 5 titles.
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Kataev, D.S. On Some Metaplectic Eisenstein Series. Journal of Mathematical Sciences 110, 3091–3110 (2002). https://doi.org/10.1023/A:1015472328214
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DOI: https://doi.org/10.1023/A:1015472328214