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On the Sum of Digits of Numerators of Bernoulli Numbers Let $b\gt 1$ 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 $c:=c(b)\gt 0$ is some constant depending on
$b$.
Keywords:Bernoulli numbers, sums of digits Category:11B68 |