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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 4, Pages 34–38
(Mi vmumm420)
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Short notes
Number of divisors of the central binomial coefficient
G. V. Fedorov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
Asymptotic formulas are derived for the following expressions: $\log\tau\left(C_{2n}^{n}\right)$ and $\log \tau\bigl([1,\ldots,n]\bigr)$.
Key words:
divisor function, binomial coefficients, least common multiple.
Received: 11.02.2011
Citation:
G. V. Fedorov, “Number of divisors of the central binomial coefficient”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 4, 34–38; Moscow University Mathematics Bulletin, 68:4 (2013), 194–197
Linking options:
https://www.mathnet.ru/eng/vmumm420 https://www.mathnet.ru/eng/vmumm/y2013/i4/p34
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