The first sentence in the abstract should be replaced with the sentence "A sequence $(x_{k})$ is called arithmetically convergent if for each $\varepsilon > 0$ there is an integer $n_{0}$ such that $|x_{m} - x_{<m,n>}|<\varepsilon$ for every integers $m, n$ satisfying $<m, n> \geq n_{0}$, where the symbol $< m, n >$ denotes the greatest common divisor of the integers $m$ and $n$".
@article{36761, title = {Corrigendum to the paper entitled "A variation on arithmetic continuity" published in Boletim da Sociedade Paranaense de Matematica Volume 35, Issue 3 (2017), Pages 195-202}, journal = {Boletim da Sociedade Paranaense de Matem\'atica}, volume = {37}, year = {2017}, doi = {10.5269/bspm.v37i2.36761}, language = {EN}, url = {http://dml.mathdoc.fr/item/36761} }
Cakalli, Huseyin. Corrigendum to the paper entitled "A variation on arithmetic continuity" published in Boletim da Sociedade Paranaense de Matematica Volume 35, Issue 3 (2017), Pages 195-202. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i2.36761. http://gdmltest.u-ga.fr/item/36761/