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Gundlach, F · 2026 · Algebra & Number Theory · DOI 10.2140/ant.2026.20.383

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Equidistribution for abelian extensions of global fields

math.NT · 2026-07-17 · conditional · novelty 7.0

For any finite abelian group G and global function field k, G-extensions with conductor q^M and prescribed local conditions satisfy an explicit asymptotic q^{aM} M^{b-1}, with local equidistribution governed by a Tamagawa measure.

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  • Equidistribution for abelian extensions of global fields math.NT · 2026-07-17 · conditional · none · ref 4

    For any finite abelian group G and global function field k, G-extensions with conductor q^M and prescribed local conditions satisfy an explicit asymptotic q^{aM} M^{b-1}, with local equidistribution governed by a Tamagawa measure.