6 citations · 33 across the 23 of their papers we have counts for
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A sharp upper bound for the -torsion of class groups of multiquadratic fields
Peter Koymans, Carlo Pagano
Let be a multiquadratic extension of and let be its narrow class group. Recently, the authors \cite{KP} gave a bound for …
Effective convergence of coranks of random Rédei matrices
Peter Koymans, Carlo Pagano
We give effective estimates for the -distance between the corank distribution of Rédei matrices and the measure predicted by the Cohen--Lenstra heuristics. To thi…
Higher Rédei reciprocity and integral points on conics
Peter Koymans, Carlo Pagano
Fix an integer such that is a prime modulo . Let be a squarefree integer and let be the principal binary quadratic form of $\mathbb{Q}(\sqrt{d}…
Constraining images of quadratic arboreal representations
Andrea Ferraguti, Carlo Pagano
In this paper, we prove several results on finitely generated dynamical Galois groups attached to quadratic polynomials. First we show that, over global fields, quadratic post-crit…
On the -rank of class groups of Dirichlet biquadratic fields
Étienne Fouvry, Peter Koymans, Carlo Pagano
We show that for of the odd, squarefree integers the -rank of is equal to , where is the number of prime d…
Diameters of random Cayley graphs of finite nilpotent groups
Daniel El-Baz, Carlo Pagano
We prove the existence of a limiting distribution for the appropriately rescaled diameters of random undirected Cayley graphs of finite nilpotent groups of bounded rank and nilpote…