Liouville numbers, Liouville sets and Liouville fields
Liouville numbers, Liouville sets and Liouville fields
Following earlier work by Ã. Maillet 100 years ago, we introduce the definition of a Liouville set, which extends the definition of a Liouville number. We also define a Liouville field, which is a field generated by a Liouville set. Any Liouville number belongs to a Liouville set $\mathsf {S}$ …