On the sum of digits of some sequences of integers

被引：0

作者：

Cilleruelo, Javier ^{[1
,2
]}

Luca, Florian ^{[3
]}

Rue, Juanjo ^{[1
]}

Zumalacarregui, Ana ^{[1
,2
]}

机构：

[1] UCM, UAM, CSIC, Inst Ciencias Matemat,UC3M, Madrid 28049, Spain

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

[3] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Morelia 58089, Michoacan, Mexico

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 01期

关键词：

Sum of digits; Bell numbers; ASYMPTOTIC ENUMERATION; LIMIT LAWS; GRAPHS;

D O I：

10.2478/s11533-012-0080-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let b a parts per thousand yen 2 be a fixed positive integer. We show for a wide variety of sequences {a (n) } (n=1) (a) that for almost all n the sum of digits of a (n) in base b is at least c (b) log n, where c (b) is a constant depending on b and on the sequence. Our approach covers several integer sequences arising from number theory and combinatorics.

引用

页码：188 / 195

页数：8

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