From the 1 of 9 linked papers with an AI index.
9 papers
Small points in radical extensions of number fields
Andrea Conti, Ilaria Del Corso, Arnaud Plessis +1
We study small points in radical extensions of algebraic fields. Given an algebraic extension of , a finitely generated subgroup $Î\subseteq \mathbb{F}^\t…
If a machine did it, it is probably transcendental (even -adically)
Laura Capuano, Sara Checcoli, Marzio Mula +1
The paper proves that p‑adic numbers whose continued‑fraction expansions come from broad classes of combinatorial words are either quadratic algebraic or transcendental, extending…
p-Adically convergent loci in varieties arising from periodic continued fractions
Laura Capuano, Marzio Mula, Lea Terracini +1
Inspired by several alternative definitions of continued fraction expansions for elements in , we study -adically convergent periodic continued fractions with parti…
The Bogomolov Property through Galois Representations
Lea Terracini
The Bogomolov property \B for an algebraic extension of \(\QQ\) asserts the existence of a uniform positive lower bound for the absolute logarithmic Weil height outside the group o…
The Bogomolov property for -supercuspidal eigenforms
Andrea Conti, Pietro Piras, Lea Terracini
We prove a lower bound on the Weil height, the so-called Bogomolov property, for the algebraic extensions of cut out by the adelic Galois representations attached to ce…
On -adic continued fractions with extraneous denominators: some explicit finiteness results
Laura Capuano, Sara Checcoli, Marzio Mula +1
Let be a number field. We show that, up to allowing a finite set of denominators in the partial quotients, it is possible to define algorithms for -adic continued…