Discrete logarithms and their equidistribution

Let $g,rge 2$.Extending a result of Cobeli, we establish a multidimensionalequidistribution result for the discrete logarithms $(log_g x_1,ldots,log_gx_r)$ as$(x_1,ldots,x_r)$ ranges over certain subsets of $[1,p-1]^r$ with$p oinfty$ along a sequence of primes having$g$ as a primitive root modulo $p$.