On the Sum of Digits of Numerators of Bernoulli Numbers
Canadian mathematical bulletin, Tome 56 (2013) no. 4, pp. 723-728
Voir la notice de l'article provenant de la source Cambridge University Press
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 $b$ .
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
@article{10_4153_CMB_2011_194_4,
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/}
}
TY - JOUR AU - Bérczes, Attila AU - Luca, Florian TI - On the Sum of Digits of Numerators of Bernoulli Numbers JO - Canadian mathematical bulletin PY - 2013 SP - 723 EP - 728 VL - 56 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-194-4/ DO - 10.4153/CMB-2011-194-4 ID - 10_4153_CMB_2011_194_4 ER -
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