Geodesic
On the Sum of Digits of Numerators of Bernoulli Numbers
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 723-728

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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 $c$ log $n$ , where $c\,:=\,c\left( b \right)\,>\,0$ is some constant depending on $b$ .
DOI : 10.4153/CMB-2011-194-4
Mots-clés : 11B68, Bernoulli numbers, sums of digits 
Bérczes, Attila; Luca, Florian. On the Sum of Digits of Numerators of Bernoulli Numbers. Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 723-728. doi: 10.4153/CMB-2011-194-4
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     author = {B\'erczes, Attila and Luca, Florian},
     title = {On the {Sum} of {Digits} of {Numerators} of {Bernoulli} {Numbers}},
     journal = {Canadian mathematical bulletin},
     pages = {723--728},
     year = {2013},
     volume = {56},
     number = {4},
     doi = {10.4153/CMB-2011-194-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-194-4/}
}
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