3 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
Unimodular Hunting II
Bill Allombert, Gaëtan Chenevier
Pursuing ideas in a recent work of the second author, we determine the isometry classes of unimodular lattices of rank 28, as well as the isometry classes of unimodular lattices of…
math.NT2024
Group theory of cyclic cubic number fields
Daniel C. Mayer, Siham Aouissi, Bill Allombert +1
Astonishing new discoveries with quartets and octets of cyclic cubic fields sharing a common conductor are presented. Four kinds of graphs describing cubic residue conditions among…