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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 183, Pages 5–21 (Mi znsl4794)  
On integration of modular forms with theta-series

A. N. Andrianov
Full-text PDF (663 kB)
Abstract: Dirichlet series with analytical continuation and functional equation are obtained by means of Rankin-type integration of elliptic modular forms with theta-series of integral quadratic forms of determinant $\pm1$. In some cases the Dirichlet series are Mellin-transforms of elliptic modular forms of bigger weight.
English version:
Journal of Soviet Mathematics, 1992, Volume 62, Issue 4, Pages 2833–2844
DOI: https://doi.org/10.1007/BF01098919
Bibliographic databases:
Document Type: Article
UDC: 511.466+517.863
Language: Russian
Citation: A. N. Andrianov, “On integration of modular forms with theta-series”, Modular functions and quadratic forms. Part 1, Zap. Nauchn. Sem. LOMI, 183, "Nauka", Leningrad. Otdel., Leningrad, 1990, 5–21; J. Soviet Math., 62:4 (1992), 2833–2844
Citation in format AMSBIB
\Bibitem{And90}
\by A.~N.~Andrianov
\paper On integration of modular forms with theta-series
\inbook Modular functions and quadratic forms. Part~1
\serial Zap. Nauchn. Sem. LOMI
\yr 1990
\vol 183
\pages 5--21
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4794}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1075003}
\zmath{https://zbmath.org/?q=an:0784.11021|0736.11026}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 62
\issue 4
\pages 2833--2844
\crossref{https://doi.org/10.1007/BF01098919}
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