Répartition des valeurs d'une classe de fonctions multiplicatives

A. Smati

Acta Arithmetica (1992)

  • Volume: 61, Issue: 1, page 83-100
  • ISSN: 0065-1036

How to cite


A. Smati. "Répartition des valeurs d'une classe de fonctions multiplicatives." Acta Arithmetica 61.1 (1992): 83-100. <http://eudml.org/doc/206453>.

author = {A. Smati},
journal = {Acta Arithmetica},
keywords = {multiplicative function; error term; elementary proof},
language = {fre},
number = {1},
pages = {83-100},
title = {Répartition des valeurs d'une classe de fonctions multiplicatives},
url = {http://eudml.org/doc/206453},
volume = {61},
year = {1992},

AU - A. Smati
TI - Répartition des valeurs d'une classe de fonctions multiplicatives
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 1
SP - 83
EP - 100
LA - fre
KW - multiplicative function; error term; elementary proof
UR - http://eudml.org/doc/206453
ER -


  1. [1] M. Balazard and A. Smati, Elementary proof of a theorem of Bateman, in: Analytic Number Theory, Proc. Conf. in Honor of Paul T. Bateman, Allerton Park, Ill., 1989, Progr. Math. 85, Birkhäuser, Boston 1990, 41-46. 
  2. [2] P. T. Bateman, The distribution of values of the Euler function, Acta Arith. 21 (1972), 329-345. Zbl0217.31901
  3. [3] H. Halberstam and H. E. Richert, Sieve Methods, Academic Press, 1974. Zbl0298.10026
  4. [4] A. Ivić, The distribution of values of some multiplicative functions, Publ. Inst. Math. (Beograd) (N.S.) 22(36) (1977), 87-94. Zbl0376.10033
  5. [5] E. J. Scourfield, On some sums involving the largest prime divisor of n, Acta Arith. 59 (1991), 339-363. Zbl0708.11047
  6. [6] A. Smati, Une formule asymptotique pour une classe de fonctions multiplicatives, Publ. Inst. Math. (Beograd) (N.S.) 49(63) (1990). 
  7. [7] A. Smati, Répartition des valeurs de la fonction d'Euler et de certaines fonctions multiplicatives, Thèse, Université de Limoges, 1990. 
  8. [8] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Publ. Inst. Elie Cartan 13, Université de Nancy, 1990. 

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