Identities for Multiplicative Functions
Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 65-73

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Throughout this paper the arithmetic functions L(n) and w(n) denote respectively the number and product of the distinct prime divisors of the integer n > 1, with L(1) = 0 and w(1) = 1. Also let We recall that an arithmetic function f(n) is said to be multiplicative if f(1) = 1 and f(mn) = f(m)f(n) whenever (m, n) = 1, where (m, n) denotes as usual the greatest common divisor of m and n.
Subbarao, M. V.; Gioia, A. A. Identities for Multiplicative Functions. Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 65-73. doi: 10.4153/CMB-1967-007-x
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[1] 1. Cohen, Eckford, Arithmetical functions associated with the unitary divisors of an integer. Math. Zeit., 74 (I960), pages 66-80, Google Scholar | DOI

[2] 2. Cohen, Eckford, Unitary functions (mod r ). Duke Math. J., 28 (1966), pages 475 - 485. Google Scholar

[3] 3. Gioia, A. A., On an identity for multiplicative functions. Amer. Math. Monthly, 69 (1966), pages 988-991. Google Scholar | DOI

[4] 4. Gioia, A. A., The K-product of arithmetic functions. Can. J.Math., 17 (1966), pages 970-976. Google Scholar

[5] 5. Gioia, A. A. and Subbarao, M. V., Generalized Dirichlet products of arithmetic functions (Abstract). Notices Amer. Math. Soc, 9 (1966), page 305. Google Scholar

[6] 6. Vaidyanathaswamy, R., The identical equation of the multiplicative functions. Bull. Amer. Math. Soc, 36 (1933), pages 762-772. Google Scholar

[7] 7. Vaidyanathaswamy, R., The theory of multiplicative arithmetic functions. Trans. Amer. Math. Soc, 33 (1933) pages 579-662. Google Scholar

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