Geodesic
Reciprocals of Certain Large Additive Functions
Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 225-231

Voir la notice de l'article provenant de la source Cambridge University Press

Let β(n) = ∑p|nP and B(n) = ∑Pα ||nαP denote the sum of distinct prime divisors of n and the sum of all prime divisors of n respectively. Both β(n) and B(n) are additive functions which are in a certain sense large (the average order of B(n) is π2n/(6 log n), [1]). 
Koninck, J.-M. De; Erdös, P.; Ivić, A. Reciprocals of Certain Large Additive Functions. Canadian mathematical bulletin, Tome 24 (1981) no. 2, pp. 225-231. doi: 10.4153/CMB-1981-035-7
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[1] 1. Alladi, K. and Erdös, P., On an additive arithmetic function, Pacific J. Math.. 71 (1977), 275-294. Google Scholar

[2] 2. de Bruijn, N. G., On the number of positive integers ≤x and free of prime factors >y, Indag. Math.. 13 (1951), 50-60. y,+Indag.+Math..+13+(1951),+50-60.>Google Scholar

[3] 3. De Koninck, J.-M., On a class of arithmetical functions, Duke Math. J.. 39 (1972), 807-818. Google Scholar

[4] 4. De Koninck, J.-M., Sums of quotients of additive functions, Proc. Amer. Math. Soc. 44 (1974), 35-38. Google Scholar

[5] 5. De Koninck, J.-M. and Ivić, A., Sums of reciprocals of certain additive functions, Manuscripta Math.. 30 (1980), 329-341. Google Scholar

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