Geodesic
On the Convergence of Franklin Series to~$+\infty$
Matematičeskie zametki, Tome 106 (2019) no. 3, pp. 341-349.

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It is proved that the partial sums of a series in the Franklin system with numbers $2^{\mu}$, $\mu\in \mathbb{N}$, cannot approach $+\infty$ on a set of positive measure. In particular, a Franklin series cannot converge to $+\infty$ on a set of positive measure.
Keywords: Franklin system, Franklin series, convergence to $+\infty$. 
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G. G. Gevorkyan. On the Convergence of Franklin Series to~$+\infty$. Matematičeskie zametki, Tome 106 (2019) no. 3, pp. 341-349. http://geodesic.mathdoc.fr/item/MZM_2019_106_3_a2/

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