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Fundamentalnaya i Prikladnaya Matematika, 2009, Volume 15, Issue 1, Pages 147–155 (Mi fpm1202)  
This article is cited in 3 scientific papers (total in 3 papers)

Enumerating functions for nonnegative integer coordinates of $L$-dimensional vectors

S. L. Chernyshev

Russian State Social University
Full-text PDF (117 kB) Citations (3) English version article
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Abstract: The enumerating function $C^L(X_1,\dots,X_L)$, which bijectively maps tuples of length $L$ of nonnegative integers to nonnegative integers $Z=C^L(X_1,\dots,X_L)$, is represented as a sum of $L$ figurate numbers.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 6, Pages 787–793
DOI: https://doi.org/10.1007/s10958-010-9895-z
Bibliographic databases:
UDC: 512.8
Language: Russian
Citation: S. L. Chernyshev, “Enumerating functions for nonnegative integer coordinates of $L$-dimensional vectors”, Fundam. Prikl. Mat., 15:1 (2009), 147–155; J. Math. Sci., 166:6 (2010), 787–793
Citation in format AMSBIB
\Bibitem{Che09}
\by S.~L.~Chernyshev
\paper Enumerating functions for nonnegative integer coordinates of $L$-dimensional vectors
\jour Fundam. Prikl. Mat.
\yr 2009
\vol 15
\issue 1
\pages 147--155
\mathnet{http://mi.mathnet.ru/fpm1202}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2744953}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 166
\issue 6
\pages 787--793
\crossref{https://doi.org/10.1007/s10958-010-9895-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952288013}
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  • https://www.mathnet.ru/eng/fpm/v15/i1/p147
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Abstract page:445
    Full-text PDF :217
    References:72
    First page:2
     
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