Effective equidistribution of lattice points in positive characteristic Horesh, Tal Paulin, Frédéric ddc:510 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 . Université de Bordeaux 2022 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/12684 https://research-explorer.ista.ac.at/download/12684/12689 Horesh T, Paulin F. Effective equidistribution of lattice points in positive characteristic. <i>Journal de Theorie des Nombres de Bordeaux</i>. 2022;34(3):679-703. doi:<a href="https://doi.org/10.5802/JTNB.1222">10.5802/JTNB.1222</a> eng info:eu-repo/semantics/altIdentifier/doi/10.5802/JTNB.1222 info:eu-repo/semantics/altIdentifier/issn/1246-7405 info:eu-repo/semantics/altIdentifier/e-issn/2118-8572 info:eu-repo/semantics/altIdentifier/wos/000926504300003 info:eu-repo/semantics/altIdentifier/arxiv/2001.01534 https://creativecommons.org/licenses/by-nd/4.0/ info:eu-repo/semantics/openAccess