Geodesic
On one sum associated with Fibonacci numeration system
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 2, pp. 271-275 
A. V. Shutov. On one sum associated with Fibonacci numeration system. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 2, pp. 271-275. http://geodesic.mathdoc.fr/item/DVMG_2020_20_2_a15/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain the asymptotic formula for the sum $S(X)=\sum_{n, where $\varepsilon(n)$ takes the value $+1$ or $-1$ depending on the parity of the expansion of the sum of the digits $n$ in the Fibonacci numeration system.

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