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

• Autorzy: Tianxin Cai
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 70
• Numer: 2
• Strony: 97-102

Daty

wydano

1995

otrzymano

1992-05-14

poprawiono

1995-01-31

Twórcy

autor

Tianxin Cai

• Department of Mathematics, Hangzhou University, Hangzhou, P.R. China

Bibliografia

• [1] K. Alladi and P. Erdős, On an additive arithmetic function, Pacific J. Math. 71 (1977), 275-294.
• [2] T. X. Cai, On the mean value estimate of a certain arithmetic function, Chinese Sci. Bull. 29 (1984), 1481-1484 (in Chinese).
• [3] T. X. Cai, On an additive function on the Gaussian integers, Adv. in Math. (Beijing) 20 (2) (1991), 250.
• [4] J. M. De Koninck and A. Ivić, Topics in Arithmetical Functions, Notas Mat., Amsterdam, 1980.
• [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.
• [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] E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Leipzig, 1909.
• [8] E. Landau, Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale, Leipzig, 1927.
• [9] A. Mercier, Comportement asymptotique de $∑_{p≤x} p^a {x/p}^k$, Canad. Math. Bull. 30 (1987), 309-317.
• [10] P. Zarzycki, On a certain additive function on the Gaussian integers, Acta Arith. 52 (1989), 75-90.