algebraic degree 1automatic sequences 1combinatorics on words 1continued fractions 1p-adic numbers 1transcendence 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
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…
math.NT2026
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…
math.NT2025
New evidence for Rémond's generalisation of Lehmer's conjecture
Sara Checcoli, Gabriel Andreas Dill
In this article, we generalise a result of Pottmeyer from the multiplicative group of the algebraic numbers to almost split semiabelian varieties defined over number fields. This c…