Effective equidistribution of lattice points in positive characteristic

Given a place ω of global function field K over finite field, with associated affine ring R and completion , the aim this paper is to give an effective joint equidistribution result for renormalized primitive lattice points (a,b)∈R 2 in plane solutions gcd equation ax+by=1. The main tools are techniques Gorodnik Nevo counting well-rounded families subsets. This gives sharper analog positive characteristic first author ℤ .