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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 272, Pages 197–226 (Mi znsl1370)  
On the biquadratic Eisenstein series

D. S. Kataev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (345 kB)
Abstract: Biquadratic metaplectic Eisenstein series over the group $\mathrm{SL}_3(\mathbb C)$ are studies, and the “\textrm{sl}(2)-triples” technique for the computation of the Fourier coefficients of these series is used. Also, the biquadratic theta-function over the group $\mathrm{SL}_3(\mathbb C)$ is constructed.
Received: 21.08.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 116, Issue 1, Pages 2993–3009
DOI: https://doi.org/10.1023/A:1023406927490
Bibliographic databases:
UDC: 511.3+517.3
Language: Russian
Citation: D. S. Kataev, “On the biquadratic Eisenstein series”, Problems in the theory of representations of algebras and groups. Part 7, Zap. Nauchn. Sem. POMI, 272, POMI, St. Petersburg, 2000, 197–226; J. Math. Sci. (N. Y.), 116:1 (2003), 2993–3009
Citation in format AMSBIB
\Bibitem{Kat00}
\by D.~S.~Kataev
\paper On the biquadratic Eisenstein series
\inbook Problems in the theory of representations of algebras and groups. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 272
\pages 197--226
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1370}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1811800}
\zmath{https://zbmath.org/?q=an:1118.11024}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 116
\issue 1
\pages 2993--3009
\crossref{https://doi.org/10.1023/A:1023406927490}
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