ArticleOriginal scientific text
Title
On an additive function on the set of ideals of an arbitrary number field
Authors 1
Affiliations
- Department of Mathematics, Hangzhou University, Hangzhou, P.R. China
Bibliography
- K. Alladi and P. Erdős, On an additive arithmetic function, Pacific J. Math. 71 (1977), 275-294.
- T. X. Cai, On the mean value estimate of a certain arithmetic function, Chinese Sci. Bull. 29 (1984), 1481-1484 (in Chinese).
- T. X. Cai, On an additive function on the Gaussian integers, Adv. in Math. (Beijing) 20 (2) (1991), 250.
- J. M. De Koninck and A. Ivić, Topics in Arithmetical Functions, Notas Mat., Amsterdam, 1980.
- J. M. De Koninck and A. Ivić, The distributions of the average prime divisors of an integer, Arch. Math. (Basel) 43 (1984), 37-43.
- 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.
- E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Leipzig, 1909.
- E. Landau, Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale, Leipzig, 1927.
- A. Mercier, Comportement asymptotique de
, Canad. Math. Bull. 30 (1987), 309-317. - P. Zarzycki, On a certain additive function on the Gaussian integers, Acta Arith. 52 (1989), 75-90.