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arXiv · 2607.16079

Equidistribution for abelian extensions of global fields

Jiazhi He
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Abstract

We establish asymptotic formulas for abelian extensions of global function fields ordered by conductor and subject to prescribed local conditions. Our proof combines harmonic analysis with a theory of frobenian functions over global function fields developed in this paper. We interpret our result via equidistribution on algebraic stacks.

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Jiazhi He. 2026-07-17. Equidistribution for abelian extensions of global fields. https://arxiv.org/abs/2607.16079

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