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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 322, Pages 176–185 (Mi znsl400)  
On the index of the boundary points of four-dimensional lattices that are admissible for cube

Yu. A. Smirnov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
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Abstract: Let $\Gamma$ be a four-dimensional lattice of general position that is admissible for a cube. Assume that this lattice contains at least one point that belongs to the boundary of this cube. We prove that the index of the set of such points may be equal only to 0, 1, and 2.
Received: 15.03.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 2, Pages 4716–4721
DOI: https://doi.org/10.1007/s10958-006-0267-7
Bibliographic databases:
UDC: 519.68
Language: Russian
Citation: Yu. A. Smirnov, “On the index of the boundary points of four-dimensional lattices that are admissible for cube”, Proceedings on number theory, Zap. Nauchn. Sem. POMI, 322, POMI, St. Petersburg, 2005, 176–185; J. Math. Sci. (N. Y.), 137:2 (2006), 4716–4721
Citation in format AMSBIB
\Bibitem{Smi05}
\by Yu.~A.~Smirnov
\paper On the index of the boundary points of four-dimensional lattices that are admissible for cube
\inbook Proceedings on number theory
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 322
\pages 176--185
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl400}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138458}
\zmath{https://zbmath.org/?q=an:1094.11026}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 2
\pages 4716--4721
\crossref{https://doi.org/10.1007/s10958-006-0267-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746168229}
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