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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 418, Pages 8–27 (Mi znsl5711)  
Interaction of Hecke–Shimura rings acting on theta-series

A. Andrianov

St. Petersburg Department of the Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, 191023, St. Petersburg, Russia
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Abstract: The paper considers principal features of interactions (transfer homomorphisms) for Hecke–Shimura rings of integral symplectic groups and integral orthogonal groups of positive definite integral quadratic forms both operating on theta-series of positive definite quadratic forms by Hecke operators.
Key words and phrases: interaction of Hecke–Shimura rings, interaction sums, Hecke operators, theta-series of quadratic forms.
Received: 09.09.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 5, Pages 521–531
DOI: https://doi.org/10.1007/s10958-014-1941-9
Bibliographic databases:
Document Type: Article
UDC: 511
Language: English
Citation: A. Andrianov, “Interaction of Hecke–Shimura rings acting on theta-series”, Analytical theory of numbers and theory of functions. Part 28, Zap. Nauchn. Sem. POMI, 418, POMI, St. Petersburg, 2013, 8–27; J. Math. Sci. (N. Y.), 200:5 (2014), 521–531
Citation in format AMSBIB
\Bibitem{And13}
\by A.~Andrianov
\paper Interaction of Hecke--Shimura rings acting on theta-series
\inbook Analytical theory of numbers and theory of functions. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 418
\pages 8--27
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5711}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 5
\pages 521--531
\crossref{https://doi.org/10.1007/s10958-014-1941-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904205050}
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