In this paper, we give an explicit formula for number of square matrices within an $GL_n(\mathbb{F}_q[x])$ orbit satisfying some additional restrictions on degrees of the entries. The formula gives an equidistribution result over $\mathbb{F}_q[x]$ which is an analogue of a result over $\mathbb{Z}$ proved before.
A new explicit formula in the additive theory of primes with applications II. The exceptional set in Goldbach's problem
Explicit formulae for primes in arithmetic progressions, I
Correlations of sieve weights and distributions of zeros
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