Primes in arithmetic progressions to large moduli. III

Bombieri, E.; Friedlander, J. B.; Iwaniec, H.

doi:10.1090/S0894-0347-1989-0976723-6

Primes in arithmetic progressions to large moduli. III
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by E. Bombieri, J. B. Friedlander and H. Iwaniec

J. Amer. Math. Soc. 2 (1989), 215-224

DOI: https://doi.org/10.1090/S0894-0347-1989-0976723-6

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References

Antal Balog, $p+a$ without large prime factors, Seminar on number theory, 1983–1984 (Talence, 1983/1984) Univ. Bordeaux I, Talence, 1984, pp. Exp. No. 31, 5. MR 784077
E. Bombieri, On the large sieve, Mathematika 12 (1965), 201–225. MR 197425, DOI 10.1112/S0025579300005313
E. Bombieri, J. B. Friedlander, and H. Iwaniec, Primes in arithmetic progressions to large moduli, Acta Math. 156 (1986), no. 3-4, 203–251. MR 834613, DOI 10.1007/BF02399204
E. Bombieri, J. B. Friedlander, and H. Iwaniec, Primes in arithmetic progressions to large moduli. II, Math. Ann. 277 (1987), no. 3, 361–393. MR 891581, DOI 10.1007/BF01458321
Étienne Fouvry, Théorème de Brun-Titchmarsh: application au théorème de Fermat, Invent. Math. 79 (1985), no. 2, 383–407 (French). MR 778134, DOI 10.1007/BF01388980
É. Fouvry and F. Grupp, On the switching principle in sieve theory, J. Reine Angew. Math. 370 (1986), 101–126. MR 852513
John Friedlander and Henryk Iwaniec, On Bombieri’s asymptotic sieve, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 5 (1978), no. 4, 719–756. MR 519891
John B. Friedlander and Henryk Iwaniec, Incomplete Kloosterman sums and a divisor problem, Ann. of Math. (2) 121 (1985), no. 2, 319–350. With an appendix by Bryan J. Birch and Enrico Bombieri. MR 786351, DOI 10.2307/1971175
Henryk Iwaniec, Rosser’s sieve, Acta Arith. 36 (1980), no. 2, 171–202. MR 581917, DOI 10.4064/aa-36-2-171-202
Ju. V. Linnik, The dispersion method in binary additive problems, American Mathematical Society, Providence, R.I., 1963. Translated by S. Schuur. MR 0168543
Bruno Rousselet, Inégalités de type Brun-Titchmarsh en moyenne, Groupe de travail en théorie analytique et élémentaire des nombres, 1986–1987, Publ. Math. Orsay, vol. 88, Univ. Paris XI, Orsay, 1988, pp. 91–123 (French). MR 950953