2 papers
math.NT2025
On a family of continued fractions in associated to infinite binary words derived from the Thue-Morse sequence
Bill Allombert, Alain Lasjaunias
For each integer n > 1, we present an element in , having a power series expansion based on an infinite word W(n), over the alphabet ${+1;-1}g and whose continued fracti…
math.NT2024
On a two-valued infinite sequence and a related continued fraction in Q((T^-1))
Alain Lasjaunias
This note is a complement to an article which was published, six years ago, in The Ramanujan Journal (vol. 45.3, 2018). Here, the goal is to fully describe a singular transcendenta…