Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)$\mathbb {F}_q(t)

Using a two‐dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non‐singular complete intersections of cubic and quadric hypersurfaces of dimension at least 23 over Fq(t)$\mathbb {F}_q(t)$, provided char(Fq)>3$\operatorname{char}(\mathbb {F}_q)>3$. Under the same hypotheses, we also verify weak approximation.