A. Balog, On triplets with descending largest prime factors, Studia Scientiarum Mathematicarum Hungarica, vol.38, issue.1-4, pp.45-50, 2001.
DOI : 10.1556/SScMath.38.2001.1-4.3

W. Banks, J. B. Friedlander, C. Pomerance, and I. E. Shparlinski, Multiplicative structure of values of the Euler function. High primes and misdemeanours : lectures in honour of the 60th birthday of Hugh Cowie Williams, pp.29-47, 2004.

W. Banks, A. Harcharras, and I. E. Shparlinski, Smooth values of shifted primes in arithmetic progressions . Michigan Math, J, vol.52, pp.603-618, 2004.

J. R. Chen, ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES, Sci. Sinica, vol.16, pp.157-176, 1973.
DOI : 10.1142/9789812776600_0021

J. M. De-koninck and N. Doyon, On the distance between smooth numbers. Integers, pp.647-669, 2011.

R. De-la-bretèche, C. Pomerance, and G. Tenenbaum, Products of Ratios of Consecutive Integers, The Ramanujan Journal, vol.49, issue.3/4, pp.131-138, 2005.
DOI : 10.1556/SScMath.38.2001.1-4.3

P. Erd?s and C. Pomerance, On the largest prime factors ofn andn + 1, Aequationes mathematicae, vol.13, issue.1, pp.311-321, 1978.
DOI : 10.1112/jlms/s1-13.4.242

P. Erdos, -1 AND SOME RELATED PROBLEMS CONCERNING EULER'S ??-FUNCTION, The Quarterly Journal of Mathematics, vol.6, issue.1, pp.205-213, 1935.
DOI : 10.1093/qmath/os-6.1.205

E. Fouvry and G. Tenenbaum, Entiers Sans Grand Facteur Premier En Progressions Arithmetiques, Proceedings of the London Mathematical Society, vol.3, issue.3, pp.449-494, 1991.
DOI : 10.1112/plms/s3-63.3.449

J. B. Friedlander, Integers Free From Large and Small Primes, Proc. Lond, pp.565-576, 1976.
DOI : 10.1112/plms/s3-33.3.565

D. A. Goldston, S. W. Graham, J. Pintz, and C. Y. Yildirim, Small gaps between products of two primes, Proc. Lond, pp.741-774, 2009.

D. A. Goldston, J. Pintz, and C. Y. Y?ld?r?m, Primes in tuples I, Annals of Mathematics, vol.170, issue.2, pp.819-862, 2009.
DOI : 10.4007/annals.2009.170.819

URL : http://annals.math.princeton.edu/wp-content/uploads/annals-v170-n2-p10-p.pdf

A. Granville, Smooth numbers : computational number theory and beyond. Algorithmic number theory : lattices, number fields, curves and cryptography, pp.267-323, 2008.

A. Hildebrand, On the number of positive integers ??? x and free of prime factors > y, Journal of Number Theory, vol.22, issue.3, pp.289-307, 1986.
DOI : 10.1016/0022-314X(86)90013-2

H. Iwaniec, A new form of the error term in the linear sieve, Acta Arithmetica, vol.37, pp.307-320, 1980.
DOI : 10.4064/aa-37-1-307-320

A. Lachand, VALEURS FRIABLES D'UNE FORME QUADRATIQUE ET D'UNE FORME LINEAIRE, The Quarterly Journal of Mathematics, vol.66, issue.1, pp.225-244, 2015.
DOI : 10.1093/qmath/hau029

URL : https://hal.archives-ouvertes.fr/hal-01081661

A. Lachand and G. Tenenbaum, NOTE SUR LES VALEURS MOYENNES CRIBLEES DE CERTAINES FONCTIONS ARITHMETIQUES, The Quarterly Journal of Mathematics, vol.66, issue.1, pp.245-250, 2015.
DOI : 10.1093/qmath/hau026

URL : https://hal.archives-ouvertes.fr/hal-01081309

J. Maynard, Small gaps between primes, Annals of Mathematics, vol.181, issue.1, pp.383-413, 2015.
DOI : 10.4007/annals.2015.181.1.7

Y. Motohashi and J. Pintz, A smoothed GPY sieve, Bulletin of the London Mathematical Society, vol.40, issue.2, pp.298-310, 2008.
DOI : 10.1112/blms/bdn023

C. Pomerance, Popular values of Euler's function, Mathematika, vol.16, issue.01, pp.84-89, 1980.
DOI : 10.2307/2042994

C. Pomerance and I. Shparlinski, Smooth Orders and Cryptographic Applications, International Algorithmic Number Theory Symposium, pp.338-348, 2002.
DOI : 10.1007/3-540-45455-1_27

URL : http://www.math.dartmouth.edu/~carlp/PDF/paper128.pdf

E. Saias, Entiers sans grand ni petit facteur premier I, Acta Arithmetica, vol.61, issue.4, pp.347-374, 1992.
DOI : 10.4064/aa-61-4-347-374

E. Saias, Entiers sans grand ni petit facteur premier II, Acta Arithmetica, vol.63, issue.4, pp.287-312, 1993.
DOI : 10.4064/aa-63-4-287-312

E. Saias, Entiers sans grand ni petit facteur premier III, Acta Arithmetica, vol.71, issue.4, pp.351-379, 1995.
DOI : 10.4064/aa-71-4-351-379

G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, 3ième édition. Collection Échelles, Édition Belin, 2008.

J. Teräväinen, A note on binary correlations of multiplicative functions. prépublication

Z. W. Wang, On the largest prime factors of consecutive integers in short intervals, Proc. Amer, pp.3211-3220, 2017.
DOI : 10.1090/proc/13459

Z. W. Wang, Sur les plus grands facteurs premiers d'entiers consécutifs. prépublication

Y. T. Zhang, Bounded gaps between primes, Annals of Mathematics, vol.179, issue.3, pp.1121-1174, 2014.
DOI : 10.4007/annals.2014.179.3.7