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math.NT2026
Lifts of unramified twists and local-global principles
Fabian Gundlach, Béranger Seguin
We prove that two-step nilpotent -extensions of rational global function fields of characteristic satisfy a quantitative local-global principle when they are counted accordi…
math.NT2025
Counting two-step nilpotent wildly ramified extensions of function fields
Fabian Gundlach, Béranger Seguin
We study the asymptotic distribution of wildly ramified extensions of function fields in characteristic , focusing on (certain) -groups of nilpotency class at most . R…
math.NT2024
Asymptotics of extensions of simple -algebras
Fabian Gundlach, Béranger Seguin
We answer various questions concerning the distribution of extensions of a given central simple algebra over a number field. Specifically, we give asymptotics for the count of…