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math.NT2026
A refined Malle conjecture for Heisenberg groups
Jack B. Miller, Tim Santens
Based on a conjecture of Loughran and the second author, we give an explicit prediction for the leading constant in Malle's conjecture for Galois -extensions of $\math…
math.NT2026
The leading constant in Malle's conjecture
Daniel Loughran, Tim Santens
We give an overview of a recent conjecture of the authors on the leading constant in Malle's conjecture on number fields of bounded discriminant. This comes from applying the philo…
math.NT2026
The leading constant in Malle's conjecture over function fields
Tim Santens
We prove the analogue of Malle's conjecture for the global function field $\F_q(t)$ with sufficiently large, including a precise formula for the leading constant. The main ingr…