  Selberg introduced his beautiful integral formula in 1944, see [Sel]. Evans
[E1] conjectured a finite field analog of Selberg integral formula in 1980. And
Anderson [An] proved a major case of it in 1981 and his ideas was used to
obtained the complete result [E2]. On the other hand, Aomoto [Ao] proved an
analog of Selberg integral for complex field ${\mathbb{C}}$ in 1987. The
purpose of the present paper is to formulate and prove Selberg integral formula
for local fields of characteristic zero.
