J. Chidambaraswamy, P. V. Krishnaiah, "An identity for a class of arithmetical functions of two variables", International Journal of Mathematics and Mathematical Sciences, vol. 11, Article ID 180307, 4 pages, 1988. https://doi.org/10.1155/S0161171288000419
An identity for a class of arithmetical functions of two variables
For a positive integer , let denote the quotient of by its largest squarefree divisor . Recently, K. R. Johnson proved thataccording as or not where is the well known Ramanujan's sum. In this paper, using a different method, we generalize to a wide class of arithmetical functions of variables and deduce as special cases and similar formulae for several generalizations of Ramanujan''s sum.
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