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Zapiski Nauchnykh Seminarov LOMI, 1985, Volume 144, Pages 51–67 (Mi znsl5299)  

Construction of Hermitian modular forms of genus two by cusp forms of genus one

V. A. Gritsenko
Abstract: One constructs an integral operator, mapping the cusp modular forms of one variable into modular forms relative to Hermitian groups of genus 2 over an imaginary quadratic field. One computes explicitly the Fourier coefficients of the obtained forms.
Bibliographic databases:
Document Type: Article
UDC: 511.334
Language: Russian
Citation: V. A. Gritsenko, “Construction of Hermitian modular forms of genus two by cusp forms of genus one”, Analytical theory of numbers and theory of functions. Part 6, Zap. Nauchn. Sem. LOMI, 144, "Nauka", Leningrad. Otdel., Leningrad, 1985, 51–67
Citation in format AMSBIB
\Bibitem{Gri85}
\by V.~A.~Gritsenko
\paper Construction of Hermitian modular forms of genus two by cusp forms of genus one
\inbook Analytical theory of numbers and theory of functions. Part~6
\serial Zap. Nauchn. Sem. LOMI
\yr 1985
\vol 144
\pages 51--67
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5299}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=787413}
\zmath{https://zbmath.org/?q=an:0567.10025}
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  • https://www.mathnet.ru/eng/znsl/v144/p51
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