  In this paper, we classify the irreducible representations of the rational
Cherednik algebras of rank 1 in characteristic p > 0. There are two cases. One
is the "quantum" case, where "Planck's constant" is nonzero and generic
irreducible representations have dimension pr, where r is the order of the
cyclic group contained in the algebra. The other is the "classical" case, where
"Planck's constant" is zero and generic irreducible representations have
dimension r.
