Quelques progrès récents dans la théorie analytique des nombres premiers

Deshouillers, Jean-Marc

Journées arithmétiques de Caen, Astérisque, no. 41-42 (1977), pp. 19-30.

MR Zbl

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     author = {Deshouillers, Jean-Marc},
     title = {Quelques progr\`es r\'ecents dans la th\'eorie analytique des nombres premiers},
     booktitle = {Journ\'ees arithm\'etiques de Caen},
     series = {Ast\'erisque},
     pages = {19--30},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {41-42},
     year = {1977},
     mrnumber = {444589},
     zbl = {0344.10029},
     language = {fr},
     url = {http://archive.numdam.org/item/AST_1977__41-42__19_0/}
}

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%A Collectif
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Deshouillers, Jean-Marc. Quelques progrès récents dans la théorie analytique des nombres premiers, dans Journées arithmétiques de Caen, Astérisque, no. 41-42 (1977), pp. 19-30. http://archive.numdam.org/item/AST_1977__41-42__19_0/

Bibliographie
Cité par

M. B. Barban [1963], The large sieve method and its applications in the theory of numbers, Russian Math. Surveys 21 (1966), 49-103. | DOI | Zbl

E. Bombieri [1974], Le grand crible dans la théorie analytique des nombres, Astérisque 18, Paris 1974. | MR | Zbl

H. Davenport [1967], Multiplicative number theory, Markham Pub. Co., Chicago, ill., 1967. | MR | Zbl

M. Jutila [1975], Recent progress in the theory of $L$ functions, Séminaire Delange-Pisot-Poitou (1975-1976) et séminaire de théorie des nombres de Bordeaux (1975-1976). | EuDML | Numdam | Zbl

H. L. Montgomery [1971], Topics in multiplicative number theory, Lecture notes 227, Springer-Verlag, Berlin 1971. | MR | Zbl

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

Chen Jing Run [1966], Kexue Tongbao 17 (1966), 385-386.

H. Davenport and H. Halberstam [1966], Primes in arithmetic progressions, Michigan Math. J. 13 (1966), 485-489. | DOI | MR | Zbl

M. Deuring [1933], Imaginär-quadratische Zahlkörper mit der Klassenzahl 1, Math. Z. 37 (1933), 405-415. | DOI | EuDML | JFM | MR | Zbl

G. Lejeune Dirichlet [1837], Beweis des Satzes, dass jede unbegrenzte arithmetische Progression, deren erstes Glied und Differenz keinen gemeinschaftlichen Factor haben, unendlich viele Primzahlen enthält, Abd. König. Preuss. Akad. Wiss. (1837), 45-81 ( = werke 313-342).

P. D. T. A. Elliot and H. Halberstam [1966], Some applications of Bombieri's theorem, Mathematika 13 (1966), 196-203. | DOI | MR | Zbl

E. Fogels [1965], On the zeros of $L$ functions, Acta Arith. 11 (1965), 67-96. | DOI | EuDML | MR | Zbl

P. X. Gallagher [1970], A large sieve density estimate nears $σ = 1$ , Inventiones Math. 11 (1970), 329-339. | DOI | EuDML | MR | Zbl

D. M. Goldfeld and A. Schinzel [1975], On Siegel's zero, Annal. Scuol. Normale Sup. Pisa (4) 2 (1975), 571-583. | EuDML | Numdam | MR | Zbl

H. Halberstam [1974], Chen's theorem in Journées arithmétiques de Bordeaux (281-293), Astérisque 24-25, Paris 1975. | Numdam | MR | Zbl

H. A. Heilbronn [1934], On the class number in imaginary quadratic fields, Quart. J. Math. 5 (1934), 150-160. | DOI | JFM | Zbl

C. Hooley [1975, a], On the Barban-Davenport-Halberstam theorem I, J. reine ang. Math. 274/275 (1975), 206-223. | EuDML | MR | Zbl

C. Hooley [1975, b], On the Barban-Davenport-Halberstam theorem II, J. London Math. Soc. (2), 9 (1975), 625-636. | DOI | MR | Zbl

C. Hooley [1975, c] , On the Barban-Davenport-Halberstam theorem IV, J. London Math. Soc. ( 2 , 11 (1975), 399-407. | DOI | MR | Zbl

M. N. Huxley [1972], On the difference between consecutive primes, Inventiones Math. 15 (1872), 164-170. | DOI | EuDML | MR | Zbl

A. F. Lavrik [1960], On the twin prime hypothesis of the theory of primes by the method of I. M. Vinogradov, Dokl. Akad. Nauk. SSSR 132 (1960), 1013-1015. | MR | Zbl

A. F. Lavrik [1960], On the twin prime hypothesis of the theory of primes by the method of I. M. Vinogradov, Soviet Math. Dokl. 1 (1960), 700-702. | MR | Zbl

Yu. V. Linnik [1944], On the least prime in an arithmetic progression, I, The basic theorem, Mat. Sb. 15 (57) (1944), 139-178. | EuDML | MR | Zbl

H. L. Montgomery and R. C. Vaughan [1974], Hilbert's inequality, J. London Math. Soc. (2) 8 (1974), 73-82. | DOI | MR | Zbl

H. L. Montgomery and R. C. Vaughan [1975], The exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370. | DOI | EuDML | MR | Zbl

J. Pintz [197?], Elementary methods in the theory of $L$ -functions, II, to appear in Acta Arith. | MR | Zbl

H. N. Shapiro and J. Warga [1950], On the representation of large integers as sums of primes I, Comm. Pure Appl. Math. 3 (1950), 561-573. | DOI | MR | Zbl

R. C. Vaughan [1975], On the estimation of Šnirel'man's constant, J. reine ang. Math. (to appear). | MR | Zbl