  In this note we use the Matsuo-Cherednik duality between the solutions to KZ
equations
  and eigenfunctions of Calogero-Moser Hamiltonians to get the polynomial
$p^s$-truncation of the
  Calogero-Moser eigenfunctions at a rational coupling constant. The truncation
procedure
  uses the integral representation for the hypergeometric solutions to KZ
equations.
  The $s\rightarrow \infty$ limit to the pure $p$-adic case has been analyzed
in the $n=2$ case
