From the 1 of 4 linked papers with an AI index.
4 papers
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…
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…
On the finiteness of -adic continued fractions for number fields
Laura Capuano, Nadir Murru, Lea Terracini
For a prime ideal of the ring of integers of a number field , we give a general definition of -adic continued fraction, which also includes classica…