Points of bounded height on weighted projective spaces over global function fields

TL;DR

This paper provides exact formulas and asymptotic estimates for counting rational points of bounded height on weighted projective stacks over global function fields.

Contribution

It offers the first explicit formulas and asymptotic counts for rational points on weighted projective stacks in the context of global function fields.

Findings

Exact formulas for point counts

Asymptotic estimates for large bounds

Application to weighted projective stacks

Abstract

In this note we give exact formulas (and asymptotics) for the number of rational points of bounded height on weighted projective stacks over global function fields.