ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

Bibliography

  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 pxpa{xp}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.
Pages:
97-102
Main language of publication
English
Received
1992-05-14
Accepted
1995-01-31
Published
1995
Exact and natural sciences