Geometrization of the Fibonacci numeration system, with applications to number theory
E. P. Davletyarova, Алла Адольфовна Жукова, Антон Владимирович Шутов · St Petersburg Mathematical Journal · 2014
A geometrization theorem is obtained for the Fibonacci numeration system. As applications, several classical problems are solved concerning numbers that have a given tail of the expansion with respect to the Fibonacci numeration system.