Geodesic
Oscillation theorems for primes in arithmetic progressions and for sifting functions
Journal of the American Mathematical Society, Tome 04 (1991) no. 1, pp. 25-86
Cet article a éte moissonné depuis la source American Mathematical Society

Voir la notice de l'article

@article{10_1090_S0894_0347_1991_1080647_5,
     author = {Friedlander, John and Granville, Andrew and Hildebrand, Adolf and Maier, Helmut},
     title = {Oscillation theorems for primes in arithmetic progressions and for sifting functions},
     journal = {Journal of the American Mathematical Society},
     pages = {25--86},
     year = {1991},
     volume = {04},
     number = {1},
     doi = {10.1090/S0894-0347-1991-1080647-5},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1991-1080647-5/}
}
TY  - JOUR
AU  - Friedlander, John
AU  - Granville, Andrew
AU  - Hildebrand, Adolf
AU  - Maier, Helmut
TI  - Oscillation theorems for primes in arithmetic progressions and for sifting functions
JO  - Journal of the American Mathematical Society
PY  - 1991
SP  - 25
EP  - 86
VL  - 04
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1991-1080647-5/
DO  - 10.1090/S0894-0347-1991-1080647-5
ID  - 10_1090_S0894_0347_1991_1080647_5
ER  - 
%0 Journal Article
%A Friedlander, John
%A Granville, Andrew
%A Hildebrand, Adolf
%A Maier, Helmut
%T Oscillation theorems for primes in arithmetic progressions and for sifting functions
%J Journal of the American Mathematical Society
%D 1991
%P 25-86
%V 04
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1991-1080647-5/
%R 10.1090/S0894-0347-1991-1080647-5
%F 10_1090_S0894_0347_1991_1080647_5
Friedlander, John; Granville, Andrew; Hildebrand, Adolf; Maier, Helmut. Oscillation theorems for primes in arithmetic progressions and for sifting functions. Journal of the American Mathematical Society, Tome 04 (1991) no. 1, pp. 25-86. doi: 10.1090/S0894-0347-1991-1080647-5

[1] Bombieri, E., Friedlander, J. B., Iwaniec, H. Primes in arithmetic progressions to large moduli Acta Math. 1986 203 251

[2] Buhštab, A. A. On an asymptotic estimate of the number of numbers of an arithmetic progression which are not divisible by “relatively” small prime numbers Mat. Sbornik N.S. 1951 165 184

[3] Cheer, A. Y., Goldston, D. A. A differential delay equation arising from the sieve of Eratosthenes Math. Comp. 1990 129 141

[4] Davenport, Harold Multiplicative number theory 1980

[5] Elliott, P. D. T. A. Some applications of a theorem of Raikov to number theory J. Number Theory 1970 22 55

[6] Elliott, P. D. T. A., Halberstam, H. A conjecture in prime number theory 1970 59 72

[7] Friedlander, John, Granville, Andrew Limitations to the equi-distribution of primes. I Ann. of Math. (2) 1989 363 382

[8] Fouvry, Étienne Sur le problème des diviseurs de Titchmarsh J. Reine Angew. Math. 1985 51 76

[9] Gallagher, P. X. A large sieve density estimate near 𝜎 Invent. Math. 1970 329 339

[10] Hall, Richard R., Tenenbaum, Gérald Divisors 1988

[11] Hildebrand, Adolf, Maier, Helmut Irregularities in the distribution of primes in short intervals J. Reine Angew. Math. 1989 162 193

[12] Hildebrand, Adolf, Tenenbaum, Gérald On integers free of large prime factors Trans. Amer. Math. Soc. 1986 265 290

[13] Huxley, M. N. On the difference between consecutive primes Invent. Math. 1972 164 170

[14] Ivić, Aleksandar The Riemann zeta-function 1985

[15] Iwaniec, H. Rosser’s sieve—bilinear forms of the remainder terms—some applications 1981 203 230

[16] Maier, Helmut Primes in short intervals Michigan Math. J. 1985 221 225

[17] Montgomery, Hugh L. Problems concerning prime numbers 1976 307 310

[18] Nicolas, Jean-Louis Répartitions des nombres largement composés 1978

[19] Selberg, Atle On the normal density of primes in small intervals, and the difference between consecutive primes Arch. Math. Naturvid. 1943 87 105

Cité par Sources :