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We compute the combinatorial Aomoto-Betti numbers $\beta_p(\mathcal{A})$ of acomplex reflection arrangement. When $\mathcal{A}$ has rank at least $3$, wefind that $\beta_p(\mathcal{A})\le 2$, for all primes $p$. Moreover,$\beta_p(\mathcal{A})=0$ if $p>3$, and $\beta_2(\mathcal{A})\ne 0$ if and onlyif $\mathcal{A}$ is the Hesse arrangement. We deduce that the multiplicity$e_d(\mathcal{A})$ of an order $d$ eigenvalue of the monodromy action on thefirst rational homology of the Milnor fiber is equal to the correspondingAomoto-Betti number, when $d$ is prime. We give a uniform combinatorialcharacterization of the property $e_d(\mathcal{A})\ne 0$, for $2\le d\le 4$. Wecompletely describe the monodromy action for full monomial arrangements of rank$3$ and $4$. We relate $e_d(\mathcal{A})$ and $\beta_p(\mathcal{A})$ tomultinets, on an arbitrary arrangement.

Modular equalities for complex reflection arrangements