On the Sum of Digits of Numerators of Bernoulli Numbers

被引：0

作者：

Berczes, Attila ^{[1
,2
]}

Luca, Florian ^{[3
]}

机构：

[1] Univ Debrecen, Inst Math, Number Theory Res Grp, Hungarian Acad Sci, H-4010 Debrecen, Hungary

[2] Univ Debrecen, H-4010 Debrecen, Hungary

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

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2013年 / 56卷 / 04期

关键词：

Bernoulli numbers; sums of digits;

D O I：

10.4153/CMB-2011-194-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let b > 1 be an integer. We prove that for almost all n, the sum of the digits in base b of the numerator of the Bernoulli number B-2n exceeds clog n, where c := c(b) > 0 is some constant depending on b.

引用

页码：723 / 728

页数：6

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