an:06373509
Zbl 1369.11013
Davlet'yarova, E. P.; Zhukova, A. A.; Shutov, A. V.
Geometrization of the Fibonacci numeration system, with applications to number theory
EN
St. Petersbg. Math. J. 25, No. 6, 893-907 (2014); translation from Algebra Anal. 25, No. 6, 1-23 (2013).
00338618
2014
j
11B39 11A67
Fibonacci numeration system; geometrization theorem; ternary Goldbach problem
Summary: 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.