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Diskretnyi Analiz i Issledovanie Operatsii, Ser. 1, 2006, Volume 13, Issue 4, Pages 33–48 (Mi da10)  
This article is cited in 11 scientific papers (total in 11 papers)

Superpositions of elementary arithmetic functions

S. S. Marchenkov

M. V. Lomonosov Moscow State University
Full-text PDF (254 kB) Citations (11)
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Abstract: A new concise proof of the following theorem is found: the system of four functions $\{x+y,x\div y,\lfloor x/y\rfloor,2^x\}$ induces the class of Kalmar elementary functions. An elimination mode of bounded summation is used in the proof.
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 3, Pages 351–360
DOI: https://doi.org/10.1134/S1990478907030106
Bibliographic databases:
Language: Russian
Citation: S. S. Marchenkov, “Superpositions of elementary arithmetic functions”, Diskretn. Anal. Issled. Oper., Ser. 1, 13:4 (2006), 33–48; J. Appl. Industr. Math., 1:3 (2007), 351–360
Citation in format AMSBIB
\Bibitem{Mar06}
\by S.~S.~Marchenkov
\paper Superpositions of elementary arithmetic functions
\jour Diskretn. Anal. Issled. Oper., Ser.~1
\yr 2006
\vol 13
\issue 4
\pages 33--48
\mathnet{http://mi.mathnet.ru/da10}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2289377}
\zmath{https://zbmath.org/?q=an:1249.03079}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 3
\pages 351--360
\crossref{https://doi.org/10.1134/S1990478907030106}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548702907}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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