Bernoulli polynomials are as usual generated by:
$$ \frac{te^{xt}}{e^t -1} = \sum_{j \geq 0}B_k(x) \frac{t^j}{j!} $$ they are just polynomials, for $x\in \mathbf{Z}_p$(the ring of $p$-adic integers) is possible to give a bound of the $p$-adic norm of $B_k(x)$? Any references?
Thank you for the answers!