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Given a regular compact set $E$ in the complex plane, a unit measure $\mu$supported by $\partial E,$ a triangular point set $\beta :=\{\{\beta_{n,k}\}_{k=1}^n\}_{n=1}^{\infty},\beta\subset \partial E$ and afunction $f$, holomorphic on $E$, let $\pi_{n,m}^{\beta,f}$ be the associatedmultipoint $\beta-$ Pad\'e approximant of order $(n,m)$. We show that if thesequence $\pi_{n,m}^{\beta,f}, n\in\Lambda, m-$ fixed, converges exactmaximally to $f$, as $n\to\infty,n\in\Lambda$ inside the maximal domain of $m-$meromorphic continuability of $f$ relatively to the measure $\mu,$ then thepoints $\beta_{n,k}$ are uniformly distributed on $\partial E$ with respect tothe measure $\mu$ as $ n\in\Lambda$. Furthermore, a result about the zerosbehavior of the exact maximally convergent sequence $\Lambda$ is provided,under the condition that $\Lambda$ is "dense enough."

Distribution of points of interpolation and of zeros of exact maximally convergent multipoint Pad\'e approximants