Geodesic
Additive functions on the greedy and lazy Fibonacci expansions
Journal of integer sequences, Tome 19 (2016) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We find all complex-valued functions that are additive with respect to both the greedy and the lazy Fibonacci expansions. We take it a little further by considering the subsets of these functions that are also multiplicative. In the final section we extend these ideas to Tribonacci expansions.
Classification : 11A25, 11A67
Keywords: Fibonacci sequence, tribonacci sequence, greedy expansion, lazy expansion 
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     author = {Chakraborty, Kalyan and K\'atai, Imre and Phong, Bui Minh},
     title = {Additive functions on the greedy and lazy {Fibonacci} expansions},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2016__19_4_a0/}
}
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Chakraborty, Kalyan; Kátai, Imre; Phong, Bui Minh. Additive functions on the greedy and lazy Fibonacci expansions. Journal of integer sequences, Tome 19 (2016) no. 4. http://geodesic.mathdoc.fr/item/JIS_2016__19_4_a0/