Evaluation effective du nombre d'entiers n tels que φ(n) ≤ x
A. Smati
Acta Arithmetica, Tome 62 (1992), p. 143-159 / Harvested from The Polish Digital Mathematics Library
Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:206457
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     author = {A. Smati},
     title = {Evaluation effective du nombre d'entiers n tels que $\phi$(n) $\leq$ x},
     journal = {Acta Arithmetica},
     volume = {62},
     year = {1992},
     pages = {143-159},
     zbl = {0726.11054},
     language = {fra},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav61i2p143bwm}
}
A. Smati. Evaluation effective du nombre d'entiers n tels que φ(n) ≤ x. Acta Arithmetica, Tome 62 (1992) pp. 143-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav61i2p143bwm/

[000] [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.

[001] [2] P. T. Bateman, The distribution of values of the Euler function, Acta Arith. 21 (1972), 329-345. | Zbl 0217.31901

[002] [3] R. E. Dressler, A density which counts multiplicity, Pacific J. Math. 34 (1970), 371-378. | Zbl 0181.05302

[003] [4] P. Erdős, Some remarks on Euler's ϕ-function and some related problems, Bull. Amer. Math. Soc. 51 (1945), 540-544. | Zbl 0061.08005

[004] [5] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Clarendon Press, Oxford 1979. | Zbl 0423.10001

[005] [6] J.-L. Nicolas, Distribution des valeurs de la fonction d'Euler, Enseign. Math. 30 (1984), 331-338. | Zbl 0553.10036

[006] [7] D. P. Parent, Exercises de théorie des nombres, Gauthier-Villars, Paris 1978.

[007] [8] H. Riesel, Prime Numbers and Computer Methods for Factorization, Birkhäuser, 1985. | Zbl 0582.10001

[008] [9] J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94. | Zbl 0122.05001

[009] [10] A. Smati, Répartition des valeurs de la fonction d'Euler, Enseign. Math. 35 (1989), 61-76. | Zbl 0684.10002

[010] [11] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Publ. Inst. Elie Cartan 13, Université de Nancy, 1990