On the Sum of Divisors of Binomial Coefficients

被引：2

作者：

Luca, Florian ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2007年 / 2007卷

关键词：

D O I：

10.1093/imrn/rnm101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let sigma(m) be the sum of divisors of the positive integer m. Here, we show that 1/N + 1 Sigma(0 <= k <= N) sigma(((N)(k)))/((N)(k)) >> log log log N, and that 1/2(N) Sigma(N)(k=0) sigma (((N)(k))) -> infinity, as N tends to infinity.

引用

页数：23

共 50 条

[1] DIVISORS OF BINOMIAL COEFFICIENTS
不详
[J]. AMERICAN MATHEMATICAL MONTHLY, 1971, 78 (02): : 201 - &
[2] ON PRIME DIVISORS OF BINOMIAL COEFFICIENTS
GOETGHELUCK, P
[J]. MATHEMATICS OF COMPUTATION, 1988, 51 (183) : 325 - 329
[3] On the number of divisors of binomial coefficients
Fedorov, G. V.
[J]. MATHEMATICAL NOTES, 2013, 93 (1-2) : 308 - 316
[4] ON PRIME DIVISORS OF BINOMIAL COEFFICIENTS
SANDER, JW
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1992, 24 : 140 - 142
[5] On the number of divisors of binomial coefficients
G. V. Fedorov
[J]. Mathematical Notes, 2013, 93 : 308 - 316
[6] SUM OF BINOMIAL COEFFICIENTS
TAKACS, L
[J]. MATHEMATICS OF COMPUTATION, 1978, 32 (144) : 1271 - 1273
[7] ON DIVISORS OF BINOMIAL COEFFICIENTS .1.
SARKOZY, A
[J]. JOURNAL OF NUMBER THEORY, 1985, 20 (01) : 70 - 80
[8] Prime power divisors of binomial coefficients
Erdos, P
Kolesnik, G
[J]. DISCRETE MATHEMATICS, 1999, 200 (1-3) : 101 - 117
[9] PRIME POWER DIVISORS OF BINOMIAL COEFFICIENTS
SANDER, JW
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1992, 430 : 1 - 20
[10] COMMON DIVISORS OF CERTAIN BINOMIAL COEFFICIENTS
FLANDERS, H
LANGFORD, ES
[J]. AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (05): : 550 - &

← 1 2 3 4 5 →