A characterization of rational elements by Lüroth-type series expansions in the p-adic number field and in the field of Laurent series over a finite field
A characterization of rational numbers by p-adic Sylvester series expansions
A logical alternative to the existing positional number system.
Addidtive representations of integers.
An exercise on Fibonacci representations
We give a partial answer to a question of Carlitz asking for a closed formula for the number of distinct representations of an integer in the Fibonacci base.