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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 7 scientific papers (total in 7 papers)

Superpositions of elementary arithmetic functions

S. S. Marchenkov

M. V. Lomonosov Moscow State University
Full-text PDF (254 kB) Citations (7)
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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{http://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 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :224
    References:58
     
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