  The occurrence and frequency of a phenomenon of resonance (namely the
coalescence of some Dubrovin canonical coordinates) in the locus of Small
Quantum Cohomology of complex Grassmannians is studied. It is shown that
surprisingly this frequency is strictly subordinate and highly influenced by
the distribution of prime numbers. Two equivalent formulations of the Riemann
Hypothesis are given in terms of numbers of complex Grassmannians without
coalescence: the former as a constraint on the disposition of singularities of
the analytic continuation of the Dirichlet series associated to the sequence
counting non-coalescing Grassmannians, the latter as asymptotic estimate (whose
error term cannot be improved) for their distribution function.
