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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 1, Pages 1–20
DOI: https://doi.org/10.1070/IM1995v044n01ABEH001584 (Mi im813) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the number of triangulation simplexes

M. Kh. Gizatullin

Samara State University
English version PDF (1031 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1995v044n01ABEH001584
Abstract: We consider generating functions for the number of triangulation simplexes. We show that the binomial generating function is multiplicative. Certain exponential generating functions turn out to be solutions of evolutionary differential equations. We get congruences for the number of internal simplexes of certain triangulations generalizing the Staudt congruences for Bernoulli numbers.
Received: 09.07.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 1, Pages 3–21
Bibliographic databases:
UDC: 515.142.33
MSC: 05A15, 54E60
Language: English
Original paper language: Russian
Citation: M. Kh. Gizatullin, “On the number of triangulation simplexes”, Izv. RAN. Ser. Mat., 58:1 (1994), 3–21; Russian Acad. Sci. Izv. Math., 44:1 (1995), 1–20
Citation in format AMSBIB
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\paper On~the number of triangulation simplexes
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\yr 1994
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\pages 3--21
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 1
\pages 1--20
\crossref{https://doi.org/10.1070/IM1995v044n01ABEH001584}
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  • https://doi.org/10.1070/IM1995v044n01ABEH001584
  • https://www.mathnet.ru/eng/im/v58/i1/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:284
    Russian version PDF:112
    English version PDF:11
    References:38
    First page:2
     
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