Arithmetic functions and weighted averages

Jean-Marie de Koninck; Jacques Grah

Colloquium Mathematicae (1999)

  • Volume: 79, Issue: 2, page 249-272
  • ISSN: 0010-1354

How to cite

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de Koninck, Jean-Marie, and Grah, Jacques. "Arithmetic functions and weighted averages." Colloquium Mathematicae 79.2 (1999): 249-272. <http://eudml.org/doc/210640>.

@article{deKoninck1999,
author = {de Koninck, Jean-Marie, Grah, Jacques},
journal = {Colloquium Mathematicae},
keywords = {mean value of arithmetic functions; arithmetic functions; weighted averages; arithmetic function; average order},
language = {eng},
number = {2},
pages = {249-272},
title = {Arithmetic functions and weighted averages},
url = {http://eudml.org/doc/210640},
volume = {79},
year = {1999},
}

TY - JOUR
AU - de Koninck, Jean-Marie
AU - Grah, Jacques
TI - Arithmetic functions and weighted averages
JO - Colloquium Mathematicae
PY - 1999
VL - 79
IS - 2
SP - 249
EP - 272
LA - eng
KW - mean value of arithmetic functions; arithmetic functions; weighted averages; arithmetic function; average order
UR - http://eudml.org/doc/210640
ER -

References

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  1. [1] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976. 
  2. [2] E. Cohen, Arithmetical functions associated with the unitary divisors of an integer, Math. Z. 74 (1960), 66-80. Zbl0094.02601
  3. [3] E. Cohen, Arithmetical notes, I. On a theorem of van der Corput, Proc. Amer. Math. Soc. 12 (1961), 214-217. Zbl0121.04904
  4. [4] J. G. van der Corput, Sur quelques fonctions arithmétiques élémentaires, Proc. Konink. Nederl. Akad. Wetensch. Amsterdam 42 (1939), 859-866. Zbl0022.20403
  5. [5] J.-M. De Koninck et J. Grah, Moyennes sur certains ensembles de diviseurs d'un entier, Enseign. Math. 42 (1996), 97-123. 
  6. [6] J.-M. Deshouillers, F. Dress et G. Tenenbaum, Lois de répartition des diviseurs, 1, Acta Arith. 34 (1979), 273-285. 
  7. [7] W. Narkiewicz, On a summation formula of E. Cohen, Colloq. Math. 11 (1963), 85-86. Zbl0118.04901
  8. [8] A. G. Postnikov, Introduction to Analytic Number Theory, Transl. Math. Monographs 68, Amer. Math. Soc., Providence, 1987. Zbl0231.10001
  9. [9] A. Wintner, Eratosthenian Averages, Waverly Press, Baltimore, 1943. 

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