ArticleOriginal scientific text

Title

Arithmetic functions and weighted averages

Authors 1, 1

Affiliations

  1. Département de mathématiques et de statistique, Université Laval, Sainte-Foy, Québec G1K 7P4, Canada

Keywords

mean value of arithmetic functions, arithmetic functions, weighted averages

Bibliography

  1. T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976.
  2. E. Cohen, Arithmetical functions associated with the unitary divisors of an integer, Math. Z. 74 (1960), 66-80.
  3. E. Cohen, Arithmetical notes, I. On a theorem of van der Corput, Proc. Amer. Math. Soc. 12 (1961), 214-217.
  4. J. G. van der Corput, Sur quelques fonctions arithmétiques élémentaires, Proc. Konink. Nederl. Akad. Wetensch. Amsterdam 42 (1939), 859-866.
  5. J.-M. De Koninck et J. Grah, Moyennes sur certains ensembles de diviseurs d'un entier, Enseign. Math. 42 (1996), 97-123.
  6. J.-M. Deshouillers, F. Dress et G. Tenenbaum, Lois de répartition des diviseurs, 1, Acta Arith. 34 (1979), 273-285.
  7. W. Narkiewicz, On a summation formula of E. Cohen, Colloq. Math. 11 (1963), 85-86.
  8. A. G. Postnikov, Introduction to Analytic Number Theory, Transl. Math. Monographs 68, Amer. Math. Soc., Providence, 1987.
  9. A. Wintner, Eratosthenian Averages, Waverly Press, Baltimore, 1943.
Pages:
249-272
Main language of publication
English
Received
1997-09-08
Accepted
1998-09-15
Published
1999
Exact and natural sciences