Author

Carlo Pagano

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Preprint Sep 2026

$\Kab$ has the Bogomolov property for canonical heights

We show that for any number field $K$ and any rational map $f$ in $K(x)$ that is not conjugate to a power, (signed) Chebyshev or Latt\`es map, then $K^{\mathrm{ab}}$ has the strong Bogomolov property for the canonical height of $f$. We also classify the pairs $(f,\alpha)$ whose backward orbit contains infinitely many a...

A. Ferraguti, Carlo Pagano · 1 citation

Preprint Sep 2026

Chowla's non-vanishing conjecture over $\mathbb{F}_q(T)$

Let $q \equiv 1 \bmod 8$ be a prime power. We prove that $L\left(\tfrac{1}{2}, \chi\right) \neq 0$ for 100% of the imaginary quadratic Dirichlet characters of $\mathbb{F}_q(T)$.

Peter Koymans, Carlo Pagano, M. Shusterman · 0 citations