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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 263, Pages 105–140
(Mi znsl1138)
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On some metaplectic Eisenstein series
D. S. Kataev St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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 $\Gamma(q)$ 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.
Received: 04.11.1999
Citation:
D. S. Kataev, “On some metaplectic Eisenstein series”, Analytical theory of numbers and theory of functions. Part 16, Zap. Nauchn. Sem. POMI, 263, POMI, St. Petersburg, 2000, 105–140; J. Math. Sci. (New York), 110:6 (2002), 3091–3110
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https://www.mathnet.ru/eng/znsl1138 https://www.mathnet.ru/eng/znsl/v263/p105
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Abstract page: | 126 | Full-text PDF : | 41 |
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