Abstract
Asymptotic formulas are derived for the following expressions: log τ(C n2n ) and log τ([1, ... , n]).
References
P. Erdös and R. L. Graham, “Old and New Problems and Results in Combinatorial Number Theory,” Monogr. Enseign. math. 28 (1980).
A. Sárközy, “On the Divisors of Binomial Coefficients,” J. Number Theory 20, 70 (1985).
A. Granville and O Ramaré, “Explicit Bounds on Exponential Sums and the Scarcity of Square-free Binomial Coefficients,” Mathematika 43, 73 (1996).
P. Erdös, S. W. Graham, A. Ivić, and C. Pomerance, “On the Divisors of n!,” in Analytic Number Theory: Proc. Gonf. in Honor of Heini Halberstam, Vol. 1, Ed. by B. Berndt, H. Diamond, and A. Hildebrand (Birkhauser, Boston, 1996), pp. 337–355.
A. A. Karatsuba, Basic Analytic Number Theory, 2nd ed. (Nauka, Moscow, 1983; Springer, 1992).
Author information
Authors and Affiliations
Additional information
Original Russian Text © G.V. Fedorov, 2013, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2013, Vol. 67, No. 4, pp. 34–38.
About this article
Cite this article
Fedorov, G.V. Number of divisors of the central binomial coefficient. Moscow Univ. Math. Bull. 68, 194–197 (2013). https://doi.org/10.3103/S0027132213040050
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027132213040050