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math.NT2026
Recent Progress around Cohen-Lenstra Heuristics
Jordan S. Ellenberg
In 1983, Henri Cohen and Hendrik Lenstra proposed a conjecture about the distribution of the N-torsion of the class group of a random quadratic field, supported by what was at the…
math.NT2026
Averages of Arithmetic Functions over Conductors of Function Fields
Jordan Ellenberg, Mark Shusterman
For a finite group and a sufficiently large (but fixed) prime power coprime to we obtain asymptotics for the number of regular Galois extensions , w…