Shifted primes without large prime factors

• Autorzy: R. C. Baker , G. Harman
• Języki publikacji: EN

Kategorie tematyczne

• 11N25: Distribution of integers with specified multiplicative constraints

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 83
• Numer: 4
• Strony: 331-361

Daty

wydano

1998

otrzymano

1996-12-04

poprawiono

1997-05-12

Twórcy

autor

R. C. Baker

• Department of Mathematics, Brigham Young University, Provo, Utah 84602, U.S.A.

autor

G. Harman

• School of Mathematics, University of Wales, College of Cardiff, Senghennydd Road, Cardiff CF2 4AG, U.K.

Bibliografia

• [1] W. R. Alford, A. Granville and C. Pomerance, There are infinitely many Carmichael numbers, Ann. of Math. 139 (1994), 703-722.
• [2] R. C. Baker and G. Harman, The Brun-Titchmarsh theorem on average, in: Analytic Number Theory, Vol. I, Birkhäuser, Boston, 1996, 39-103.
• [3] A. Balog, p + a without large prime factors, Sém. Théorie des Nombres Bordeaux (1983-84), exposé 31.
• [4] E. Bombieri, J. Friedlander and H. Iwaniec, Primes in arithmetic progressions to large moduli, Acta Math. 156 (1986), 203-251.
• [5] E. Bombieri, J. Friedlander and H. Iwaniec, Primes in arithmetic progressions to large moduli II, Math. Ann. 277 (1987), 361-393.
• [6] E. Fouvry, Théorème de Brun-Titchmarsh; application au théorème de Fermat, Invent. Math. 79 (1985), 383-407.
• [7] E. Fouvry and F. Grupp, On the switching principle in sieve theory, J. Reine Angew. Math. 370 (1986), 101-126.
• [8] J. Friedlander, Shifted primes without large prime factors, in: Number Theory and Applications, 1989, Kluwer, Berlin, 1990, 393-401.
• [9] J. B. Friedlander and H. Iwaniec, On Bombieri's asymptotic sieve, Ann. Scuola Norm. Sup. Pisa 5 (1978), 719-756.
• [10] D. R. Heath-Brown, The number of primes in a short interval, J. Reine Angew. Math. 389 (1988), 22-63.
• [11] C. Pomerance, Popular values of Euler's function, Mathematika 27 (1980), 84-89.