@article{12684,
  abstract     = {Given a place  ω  of a global function field  K  over a finite field, with associated affine function ring  Rω  and completion  Kω , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points  (a,b)∈Rω2  in the plane  Kω2 , and for renormalized solutions to the gcd equation  ax+by=1 . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in  \ZZ2 .},
  author       = {Horesh, Tal and Paulin, Frédéric},
  issn         = {2118-8572},
  journal      = {Journal de Theorie des Nombres de Bordeaux},
  number       = {3},
  pages        = {679--703},
  publisher    = {Université de Bordeaux},
  title        = {{Effective equidistribution of lattice points in positive characteristic}},
  doi          = {10.5802/JTNB.1222},
  volume       = {34},
  year         = {2022},
}