Frobenius intertwiners for q-difference equations

In this note we consider a class of q-hypergeometric equations describing the quantum difference equation for the cotangent bundle over projective space X=T*Pⁿ . We show that over Qₚ these equations are equipped with the Frobenius action z→ zᵖ. We obtain an explicit formula for the constant term of the Frobenius intertwiner in therms of p-adic q-gamma function of Koblitz. In the limit q→ 1 our formula degenerates to the Frobenius intertwiners for the hypergeometric differential equations discovered by B.Dwork.