Bol. Soc. Paran. Mat. (3s.) v. 37 2 (2019): 177–179. c SPM –ISSN-2175-1188 on line ISSN-00378712 in press SPM: www.spm.uem.br/bspm doi:10.5269/bspm.v37i2.36761 Corrigendum to the Paper Entitled ”A variation on arithmetic continuity” Published in Boletim da Sociedade Paranaense de Matem´ atica Volume 35, Issue 3 (2017), Pages 195-202 Huseyin Cakalli abstract: The first sentence in the abstract should be replaced with the sentence ”A sequence (x k ) is called arithmetically convergent if for each ε> 0 there is an integer n 0 such that |xm-x<m,n>| <ε for every integers m, n satisfying < m, n >≥ n 0 , where the symbol < m, n > denotes the greatest common divisor of the integers m and n”. Key Words:Arithmetical convergent sequences, Boundedness. Contents 1 Corrigendum to ”A variation on arithmetic continuity” 177 1. Corrigendum to ”A variation on arithmetic continuity” The first sentence in the abstract should be replaced with the sentence ”A se- quence (x k ) is called arithmetically convergent if for each ε> 0 there is an integer n 0 such that |x m - x <m,n> | <ε for every integers m, n satisfying < m, n >≥ n 0 , where the symbol < m, n > denotes the greatest common divisor of the integers m and n”. This definition of arithmetical convergence has been considered through- out the paper. If the following sentence is inserted on line 19 on page 196, just before the word ”Recently”, then the rest of the manuscript remains unaffected, and fully corrected properly: ”In the sequel of this paper, we will always use the definition of arithmetically convergence in the sense that a sequence x =(x k ) is called arithmetically convergent if for each ε> 0 there is a positive integer n 0 such that |x m - x <m,n> | <ε for every integers m, n satisfying < m,n >≥ n 0 . We sincerely apologize for this mistake and regret the inconvenience caused. References 1. C.G. Aras, A. Sonmez, H. C ¸ akallı, On soft mappings, arXiv:1305.4545v1, 2013 2. D. Burton, J. Coleman, Quasi-Cauchy sequences, Amer. Math. Monthly, 117 (2010), 328-333. 3. H. Cakalli, N-theta-ward continuity, Abstr. Appl. Anal., 2012 (2012), Article ID 680456 4. H. Cakalli, A Variation on Statistical Ward Continuity, Bull. Malays. Math. Sci. Soc., DOI 10.1007/s40840-015-0195-0 5. H. C ¸ akalli, Lacunary statistical convergence in topological groups, Indian J. Pure Appl. Math., 26 (2) (1995), 113-119. 6. H. C ¸ akalli, Sequential definitions of compactness, Appl. Math. Lett., 21(6)(2008), 594-598. 2010 Mathematics Subject Classification: 40A35, 40A05, 26A05, 26A30. Submitted April 17, 2017. Published April 22, 2017 177 Typeset by B S P M style. c  Soc. Paran. de Mat.