Evaluation effective du nombre d'entiers n tels que φ(n) ≤ x

A. Smati

Acta Arithmetica (1992)

  • Volume: 61, Issue: 2, page 143-159
  • ISSN: 0065-1036

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A. Smati. "Evaluation effective du nombre d'entiers n tels que φ(n) ≤ x." Acta Arithmetica 61.2 (1992): 143-159. <http://eudml.org/doc/206457>.

@article{A1992,
author = {A. Smati},
journal = {Acta Arithmetica},
keywords = {Euler phi-function; elementary method},
language = {fre},
number = {2},
pages = {143-159},
title = {Evaluation effective du nombre d'entiers n tels que φ(n) ≤ x},
url = {http://eudml.org/doc/206457},
volume = {61},
year = {1992},
}

TY - JOUR
AU - A. Smati
TI - Evaluation effective du nombre d'entiers n tels que φ(n) ≤ x
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 2
SP - 143
EP - 159
LA - fre
KW - Euler phi-function; elementary method
UR - http://eudml.org/doc/206457
ER -

References

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  1. [1] M. Balazard and A. Smati, Elementary proof of a theorem of Bateman, dans : 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] R. E. Dressler, A density which counts multiplicity, Pacific J. Math. 34 (1970), 371-378. Zbl0181.05302
  4. [4] P. Erdős, Some remarks on Euler's ϕ-function and some related problems, Bull. Amer. Math. Soc. 51 (1945), 540-544. Zbl0061.08005
  5. [5] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Clarendon Press, Oxford 1979. Zbl0423.10001
  6. [6] J.-L. Nicolas, Distribution des valeurs de la fonction d'Euler, Enseign. Math. 30 (1984), 331-338. Zbl0553.10036
  7. [7] D. P. Parent, Exercises de théorie des nombres, Gauthier-Villars, Paris 1978. 
  8. [8] H. Riesel, Prime Numbers and Computer Methods for Factorization, Birkhäuser, 1985. Zbl0582.10001
  9. [9] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94. Zbl0122.05001
  10. [10] A. Smati, Répartition des valeurs de la fonction d'Euler, Enseign. Math. 35 (1989), 61-76. Zbl0684.10002
  11. [11] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Publ. Inst. Elie Cartan 13, Université de Nancy, 1990 

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