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Matematicheskie Zametki, 2013, Volume 93, Issue 2, Pages 276–285
DOI: https://doi.org/10.4213/mzm10161 (Mi mzm10161) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Number of Divisors of Binomial Coefficients

G. V. Fedorov

M. V. Lomonosov Moscow State University
Full-text PDF (422 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10161
Abstract: This paper deals with the problems of the upper and lower orders of growth of the ratios of the divisor functions of “adjacent” binomial coefficients, i.e., of the numbers of combinations of the form $C_{n}^{k}$ and $C_{n}^{k+1}$ or $C_{n}^{k}$ and $C_{n+1}^{k}$. The suprema and infima of the corresponding ratios are obtained.
Keywords: number of divisors of binomial coefficients, sum of prime divisors.
Received: 18.02.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 2, Pages 308–316
DOI: https://doi.org/10.1134/S0001434613010331
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: G. V. Fedorov, “On the Number of Divisors of Binomial Coefficients”, Mat. Zametki, 93:2 (2013), 276–285; Math. Notes, 93:2 (2013), 308–316
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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