@article{bwmeta1.element.bwnjournal-article-aav70i2p97bwm, author = {Tianxin Cai}, title = {On an additive function on the set of ideals of an arbitrary number field}, journal = {Acta Arithmetica}, volume = {69}, year = {1995}, pages = {97-102}, zbl = {0822.11066}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav70i2p97bwm} }
Tianxin Cai. On an additive function on the set of ideals of an arbitrary number field. Acta Arithmetica, Tome 69 (1995) pp. 97-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav70i2p97bwm/
[000] [1] K. Alladi and P. Erdős, On an additive arithmetic function, Pacific J. Math. 71 (1977), 275-294. | Zbl 0359.10038
[001] [2] T. X. Cai, On the mean value estimate of a certain arithmetic function, Chinese Sci. Bull. 29 (1984), 1481-1484 (in Chinese). | Zbl 0733.11032
[002] [3] T. X. Cai, On an additive function on the Gaussian integers, Adv. in Math. (Beijing) 20 (2) (1991), 250.
[003] [4] J. M. De Koninck and A. Ivić, Topics in Arithmetical Functions, Notas Mat., Amsterdam, 1980. | Zbl 0442.10032
[004] [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. | Zbl 0519.10027
[005] [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.
[006] [7] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Leipzig, 1909.
[007] [8] E. Landau, Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale, Leipzig, 1927. | Zbl 53.0141.09
[008] [9] A. Mercier, Comportement asymptotique de , Canad. Math. Bull. 30 (1987), 309-317. | Zbl 0631.10028
[009] [10] P. Zarzycki, On a certain additive function on the Gaussian integers, Acta Arith. 52 (1989), 75-90. | Zbl 0682.10032