Le grand crible dans la théorie analytique des nombres

Bombieri, Enrico

Astérisque, no. 18 (1974) , 112 p.

Voir la notice du livre provenant de la source

Détail
Citer ce livre

MR Zbl

Bombieri, Enrico. Le grand crible dans la théorie analytique des nombres. Astérisque, no. 18 (1974), 112 p. http://geodesic.mathdoc.fr/item/AST_1987__18__1_0/

@book{AST_1987__18__1_0,
     author = {Bombieri, Enrico},
     title = {Le grand crible dans la th\'eorie analytique des nombres},
     series = {Ast\'erisque},
     year = {1974},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {18},
     mrnumber = {891718},
     zbl = {0618.10042},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/item/AST_1987__18__1_0/}
}

TY  - BOOK
AU  - Bombieri, Enrico
TI  - Le grand crible dans la théorie analytique des nombres
T3  - Astérisque
PY  - 1974
IS  - 18
PB  - Société mathématique de France
UR  - http://geodesic.mathdoc.fr/item/AST_1987__18__1_0/
LA  - fr
ID  - AST_1987__18__1_0
ER  -

%0 Book
%A Bombieri, Enrico
%T Le grand crible dans la théorie analytique des nombres
%S Astérisque
%D 1974
%N 18
%I Société mathématique de France
%U http://geodesic.mathdoc.fr/item/AST_1987__18__1_0/
%G fr
%F AST_1987__18__1_0

Bibliographie
Cité par

[B1] Bombieri, E. On the Large Sieve. Mathematika 12(1965), 201-225. | MR | Zbl | DOI

[B2] Bombieri, E. A note on the Large Sieve. Acta Arith. 18(1971), 401-404. | MR | Zbl | EuDML | DOI

[D] Davenport, H. Multiplicative Number Theory. Markham, Chicago 1967 (Sans les théorèmes 4, 4A du § 23). | MR | Zbl

[F-V1] Forti, M. et Viola, C. On large sieve type estimates for the Dirichlet series operator. Proc. Symposia Pure Math. XXIV 1973, 31-49. | MR | Zbl | DOI

[F-V2] Forti, M. et Viola, C. Density estimates for the zeros of $L$ -functions. Acta Arith. 23 (1973), 379-391. | MR | Zbl | EuDML | DOI

[G1] Gallagher, P.X. Sieving by prime powers. Proc. 1972 Number Theory Conference in Boulder, (1972), 95-99. | MR | Zbl

[G2] Gallagher, P.X. The Large Sieve. Mathematika 14 (1967), 14-20. | MR | Zbl | DOI

[G3] Gallagher, P.X. A Large Sieve Estimate Near $σ = 1$ . Inv. Math. 11 (1970), 329-339. | MR | Zbl | EuDML | DOI

[G4] Gallagher, P.X. Bombieri's mean value theorem. Mathematika 15 (1968), 1-6. | MR | Zbl | DOI

[H1] Huxley, M.N. The Distribution of Prime Numbers. Oxford Math. Monographs 1972. | MR | Zbl

[H2] Huxley, M.N. On the difference between consecutive primes. Inventiones Math. 16 (1972), 191-201. | MR | EuDML

[L] Linnik, Yu. V. Le grand crible. Dokl. Akad. Nauk SSSR 30 (1941), 292-294 (en russe). | Zbl | JFM

[M1] Montgomery, H.L. Topics in Multiplicative Number Theory. Springer Lecture Notes 227 (1971). | MR | Zbl

[M2] Montgomery, H.L. Hilbert's inequality and the large sieve. Proc. 1972 Number Theory Conference in Boulder, (1972), 156-161. | Zbl | MR

[M3] Montgomery, H.L. A note on the large sieve. J. London Math. Soc. 43 (1968), 93-98. | MR | Zbl | DOI

[M4] Montgomery, H.L. Zeros of $L$ -functions. Inventiones Math. 8 (1969), 334-345. | MR | Zbl | DOI

[P] Prachar, K. Primzahlverteilung, Springer, Berlin 1957. | MR | Zbl

[Ra] Ramachandra, K. A simple proof of the mean fourth power estimate for $ξ (\frac{1}{2} + i t)$ and $L (\frac{1}{2} + i t, χ)$ . A paraître dans Ann. Scuola Normale Sup. Pisa. | Zbl | EuDML | Numdam

[Re1] Rényi, A. On the representation of an even number as the sum of a prime and of an almost prime. Izv. Akad. Nauk SSSR Ser. Mat. 12 (1948), 57-78 | MR | Zbl

Rényi, A. On the representation of an even number as the sum of a prime and of an almost prime, et Amer. Math. Soc. Translations (2) 19, (1962), 229-321. | MR | Zbl

[Re2] Rényi, A. On the large sieve of U.V. Linnik. Compositio Math. 8 (1950), 68-75. | MR | Zbl | EuDML | Numdam

[Re3] Rényi, A. New version of the probabilistic generalization of the large sieve. Acta Math. Acad. Sci. Hungar. 10 (1959), 217-226. | MR | Zbl | DOI

[Ri] Richert, H.-E. Selberg's sieve with weights. Proc. Symposia Pure Math. XX (1971). 287-310. | MR | Zbl | DOI

[S1] Selberg, A. Sieve Methods. Proc Symposia Pure Math. XX (1971), 311-351. | MR | Zbl | DOI

[S2] Selberg, A. Remarks on Sieves. Proc. 1972 Number Theory Conference in Boulder, (1972), 205-216. | MR | Zbl

[T] Tijdeman, R. On the distribution of the values of certain functions. Academic Service, Amsterdam 1969. | MR | Zbl

[V] Vinogradov, A.I. Sur l'hypothèse de densité pour les fonctions $L$ de Dirichlet. Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 903-934 | MR | Zbl

Vinogradov, A.I. et Correction, Izv. Akad. Nauk SSSR Ser. Mat. 30 (1966), 719-720 (en russe). | MR | Zbl

[1] E. Bombieri, J.B. Friedlander and H. Iwaniec - Primes in progression to large moduli, Acta Math., 156 (1986), 203-251. | MR | Zbl | DOI

[2] J.-M. Deshouillers and H. Iwaniec - Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math. 70 (1982), 219-288. | MR | Zbl | EuDML | DOI

[3] P.D.T.A. Elliott and H. Halberstam - A conjecture in prime number theory, Symp. Math. 4 (INDAM Rome, 1968-69), 59-72. | MR | Zbl

[4] E. Fouvry - Répartition des suites dans les progressions arithmétiques, Acta Arith. 41 (1982), 359-382. | MR | Zbl | EuDML | DOI

[5] E. Fouvry - Autour du théorème de Bombieri-Vinogradov, Acta Math. 152 (1984), 219-244. | MR | Zbl | DOI

[6] E. Fouvry and H. Iwaniec - On a theorem of Bombieri - Vinogradov type, Mathematika 27 (1980), 135-172. | MR | Zbl | DOI

[7] E. Fouvry and H. Iwaniec - Primes in arithmetic progressions, Acta Arith. 42 (1983), 197-218. | MR | Zbl | EuDML | DOI

[8] D.R. Heath - Brown - Prime numbers in short intervals and a generalized Vaughan identity, Can. J. Math. 34 (1982), 1365-1377. | MR | Zbl | DOI

[9] C. Hooley - On the Barban-Davenport - Halberstam Theorem III, J.L.M.S. (2), 10 (1975), 249-256. | MR | Zbl

[10] Y. Motohashi - An induction principle for the generalization of Bombieri's Prime Number Theorem, Proc. Japan Acad. 52 (1976), 273-275. | MR | Zbl | DOI

[11] R.C. Vaughan - An elementary method in prime number theory, Acta Arith., 37 (1980), 111-115. | MR | Zbl | EuDML | DOI

Parcourir par

Geodesic

Parcourir par