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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 449, Pages 5–14 (Mi znsl6319)  
Interaction of Hecke–Shimura rings and zeta functions

A. Andrianov

St. Petersburg Department of Steklov Mathematical Institutef RAS, St. Petersburg, Russia
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Abstract: An automorphic structure on a Lie group consists of Hecke–Shimura ring of an arithmetical discrete subgroup and a linear representation of the ring on an invariant space of automorphic forms given by Hecke operators. The paper is devoted to interactions (transfer homomorphisms) of Hecke–Shimura rings of integral symplectic groups and integral orthogonal groups of integral positive definite quadratic forms.
Key words and phrases: Hecke operators, Hecke–Shimura rings, interaction mappings, interaction sums, theta functions of integral quadratic forms.
Received: 10.10.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 6, Pages 841–847
DOI: https://doi.org/10.1007/s10958-017-3500-7
Bibliographic databases:
Document Type: Article
UDC: 511
Language: English
Citation: A. Andrianov, “Interaction of Hecke–Shimura rings and zeta functions”, Analytical theory of numbers and theory of functions. Part 32, Zap. Nauchn. Sem. POMI, 449, POMI, St. Petersburg, 2016, 5–14; J. Math. Sci. (N. Y.), 225:6 (2017), 841–847
Citation in format AMSBIB
\Bibitem{And16}
\by A.~Andrianov
\paper Interaction of Hecke--Shimura rings and zeta functions
\inbook Analytical theory of numbers and theory of functions. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 449
\pages 5--14
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580128}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 6
\pages 841--847
\crossref{https://doi.org/10.1007/s10958-017-3500-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027338415}
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