@article{bwmeta1.element.bwnjournal-article-aav61i4p347bwm, author = {Eric Saias}, title = {Entiers sans grand ni petit facteur premier I}, journal = {Acta Arithmetica}, volume = {62}, year = {1992}, pages = {347-374}, zbl = {0766.11038}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav61i4p347bwm} }
Eric Saias. Entiers sans grand ni petit facteur premier I. Acta Arithmetica, Tome 62 (1992) pp. 347-374. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav61i4p347bwm/
[000] [1] K. Alladi, The Turán-Kubilius inequality for integers without large factors, J. Reine Angew. Math. 335 (1982), 180-196. | Zbl 0483.10050
[001] [2] J. D. Bovey, On the size of prime factors of integers, Acta Arith. 33 (1977), 65-80. | Zbl 0353.10033
[002] [3] N. G. de Bruijn, On the number of uncancelled elements in the sieve of Eratosthenes, Nederl. Akad. Wetensch. Proc. 53 (1950), 803-812. | Zbl 0037.03001
[003] [4] N. G. de Bruijn, The asymptotic behaviour of a function occurring in the theory of primes, J. Indian Math. Soc. (N.S.) 15 (1951), 25-32. | Zbl 0043.06502
[004] [5] A. A. Buchstab, An asymptotic estimate of a general number-theoretic function, Mat. Sb. 2 (44) (1937), 1239-1246 (in Russian).
[005] [6] K. Dickman, On the frequency of numbers containing prime factors of a certain relative magnitude, Ark. Mat. Astr. Fys. 22 (1930), 1-14. | Zbl 56.0178.04
[006] [7] E. Fouvry et G. Tenenbaum, Entiers sans grand facteur premier en progressions arithmétiques, Proc. London Math. Soc. 63 (1991), 449-494. | Zbl 0745.11042
[007] [8] J. B. Friedlander, Integers free from large and small primes, Proc. London Math. Soc. 33 (1976), 565-576. | Zbl 0344.10021
[008] [9] A. Hildebrand, Integers free of large prime factors and the Riemann hypothesis, Mathematika 31 (1984), 258-271. | Zbl 0544.10042
[009] [10] A. Hildebrand, The asymptotic behaviour of the solutions of a class of differential-difference equations, J. London Math. Soc. (2) 42 (1990), 11-31. | Zbl 0675.34037
[010] [11] A. Hildebrand and G. Tenenbaum, On integers free of large prime factors, Trans. Amer. Math. Soc. 296 (1986), 265-290. | Zbl 0601.10028
[011] [12] E. Saias, Sur le nombre des entiers sans grand facteur premier, J. Number Theory 32 (1989), 78-99. | Zbl 0676.10028
[012] [13] E. Saias, Entiers sans grand ni petit facteur premier II, Acta Arith., à paraître.
[013] [14] E. Saias, Entiers sans grand ni petit facteur premier III, en préparation.
[014] [15] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Institut Elie Cartan 13, Université de Nancy I, 1990.
[015] [16] E. T. Whittakerand G. Watson, A Course of Modern Analysis, 4th ed., Cambridge University Press, 1927.