On an additive function on the set of ideals of an arbitrary number field

 Access to full text

 Full (PDF)

1. [1] K. Alladi and P. Erdős, On an additive arithmetic function, Pacific J. Math. 71 (1977), 275-294. Zbl0359.10038
2. [2] T. X. Cai, On the mean value estimate of a certain arithmetic function, Chinese Sci. Bull. 29 (1984), 1481-1484 (in Chinese). Zbl0733.11032
3. [3] T. X. Cai, On an additive function on the Gaussian integers, Adv. in Math. (Beijing) 20 (2) (1991), 250. 
4. [4] J. M. De Koninck and A. Ivić, Topics in Arithmetical Functions, Notas Mat., Amsterdam, 1980. Zbl0442.10032
5. [5] J. M. De Koninck and A. Ivić, The distributions of the average prime divisors of an integer, Arch. Math. (Basel) 43 (1984), 37-43. Zbl0519.10027
6. [6] P. Erdős and A. Ivić, Estimates for sums involving the largest prime factor of an integer and certain related additive functions, Studia Sci. Math. Hungar. 15 (1980), 183-199. 
7. [7] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Leipzig, 1909. 
8. [8] E. Landau, Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale, Leipzig, 1927. Zbl53.0141.09
9. [9] A. Mercier, Comportement asymptotique de ${\sum }_{p\le x}{p}^a{x/p}^k$, Canad. Math. Bull. 30 (1987), 309-317. Zbl0631.10028
10. [10] P. Zarzycki, On a certain additive function on the Gaussian integers, Acta Arith. 52 (1989), 75-90. Zbl0682.10032