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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 322, Pages 135–148 (Mi znsl398)  
Scalar product of Dirichlet series and the distribution of integer points on toric varieties

B. Z. Moroz

Max Planck Institute for Mathematics
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Abstract: We study the scalar product of Hecke series “mit Größencharakteren”, introduced by Yu. V. Linnik, and its generalizations. The analytic properties of the functions under consideration are closely related to the distribution of integer points on toric varieties.
Received: 05.03.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 2, Pages 4690–4698
DOI: https://doi.org/10.1007/s10958-006-0265-9
Bibliographic databases:
UDC: 519.68
Language: Russian
Citation: B. Z. Moroz, “Scalar product of Dirichlet series and the distribution of integer points on toric varieties”, Proceedings on number theory, Zap. Nauchn. Sem. POMI, 322, POMI, St. Petersburg, 2005, 135–148; J. Math. Sci. (N. Y.), 137:2 (2006), 4690–4698
Citation in format AMSBIB
\Bibitem{Mor05}
\by B.~Z.~Moroz
\paper Scalar product of Dirichlet series and
the distribution of integer points on toric varieties
\inbook Proceedings on number theory
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 322
\pages 135--148
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl398}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138456}
\zmath{https://zbmath.org/?q=an:1075.11060}
\elib{https://elibrary.ru/item.asp?id=9126052}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 2
\pages 4690--4698
\crossref{https://doi.org/10.1007/s10958-006-0265-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746145570}
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