Propriétés multiplicatives des valeurs de certains polynômes
Thèses d'Orsay, no. 367 (1994) , 186 p. 
@phdthesis{BJHTUP11_1994__0367__P0_0,
     author = {Dartyge, C\'ecile},
     title = {Propri\'et\'es multiplicatives des valeurs de certains polyn\^omes},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {367},
     year = {1994},
     language = {fr},
     url = {http://archive.numdam.org/item/BJHTUP11_1994__0367__P0_0/}
}
TY  - BOOK
AU  - Dartyge, Cécile
TI  - Propriétés multiplicatives des valeurs de certains polynômes
T3  - Thèses d'Orsay
PY  - 1994
IS  - 367
PB  - Université de Paris-Sud Centre d'Orsay
UR  - http://archive.numdam.org/item/BJHTUP11_1994__0367__P0_0/
LA  - fr
ID  - BJHTUP11_1994__0367__P0_0
ER  - 
%0 Book
%A Dartyge, Cécile
%T Propriétés multiplicatives des valeurs de certains polynômes
%S Thèses d'Orsay
%D 1994
%N 367
%I Université de Paris-Sud Centre d'Orsay
%U http://archive.numdam.org/item/BJHTUP11_1994__0367__P0_0/
%G fr
%F BJHTUP11_1994__0367__P0_0
Dartyge, Cécile. Propriétés multiplicatives des valeurs de certains polynômes. Thèses d'Orsay, no. 367 (1994), 186 p. http://numdam.org/item/BJHTUP11_1994__0367__P0_0/

[A] E. Artin : Theory of algebraic numbers, Göttingen (1959). | MR | Zbl

[Ba] A. Balog : p + a without large prime factors, Séminaire de Théorie des Nombres de Bordeaux 1983-1984 exposé 31. | MR | Zbl

[Bo] E. Bombieri : On exponential sums in finite fields, Amer. J. Math. 88 (1966), 71-105. | MR | Zbl | DOI

[B-F] J. Brüdern and E. Fouvry : Lagrange Four Squares Theorem with almost Prime Variables, J. f. d. reine u. angew. Mathematik 454 (1994), 59-96. | MR | Zbl

[D] P. Deligne : Application de la formule des traces aux sommes trigonométriques, Séminaire de géométrie algébrique du Bois Marie-SGA 4 1/2, 168-232. | MR | Zbl

[D-I1] J-M. Deshouillers and H. Iwaniec : On the greatest prime factor of n 2 + 1 , Ann. Inst. Fourier. Grenoble 32, 4 (1982) 1-11. | MR | Zbl | Numdam | DOI

[D-I2] J-M. Deshouillers and H. Iwaniec : Kloosterman sums and Fourier coefficients of cusp forms, Inv. Math. 70 (1982), 219-288. | MR | Zbl | DOI

[E] P. Erdös : On the greatest prime factor of ∏ k = 1 ∞ f ( k ) , J. Lond. Math. Soc. 27 (1952) p. 379-384. | MR | Zbl

[Fo1] E. Fouvry : Répartition des suites dans les progressions arithmétiques-Résultats du type Bombieri-Vinogradov avec exposant supérieur à 1/2, Thèse de Doctorat ès Sciences, Université de Bordeaux I (1981).

[Fo2] E. Fouvry : Le problème des diviseurs de Titchmarsh, J. f. d. reine u. angew. Mathematik 356 (1985), 51-76. | MR | Zbl

[Fr1] J. B. Friedlander : Integers free from large and small primes, Proc. Math. Soc (3) 33 (1976), 565-576. | MR | Zbl | DOI

[Fr2] J. B. Friedlander : Shifted primes without large prime factors, Number Theory and applications (Banff, AB, 1988), 393-401. | MR | Zbl

[Gl] G. Greaves : The divisor-sum problem for binary cubic forms, Acta Arith. 27 (1970) 1-28. | MR | Zbl | DOI

[G2] G. Greaves : Large prime factors of binary forms, J. Number Theory 3 (1971), 35-59, and corrigendum, ibid. 9 (1977), 561-562. | MR | Zbl | DOI

[G3] G. Greaves : An application of a theorem of Barban, Davenport and Halberstam, Bull. London Math. Soc. 6 (1974), 1-9. | MR | Zbl | DOI

[G4] G. Greaves : Power-free values of binary forms, Quart. J. Math. Oxford (2), 43 (1992), 45-65. | MR | Zbl | DOI

[H-R] H. Halberstam and H.-E. Richert : Sieve methods, Academic Press, London 1974. | MR | Zbl

[Ha] R. Hartshorne : Algebraic Geometry, GTM 52, Springer Verlag. | MR | Zbl

[HB] D.-R. Heath-Brown : The square sieve and consecutive square-free numbers, Math. Ann. 266 (1984) No 3, 251-259. | MR | Zbl | DOI

[H1] C. Hooley : Applications of sieve methods to the theory of numbers, Cambridge University Press, London 1976. | MR | Zbl

[H2] C. Hooley : On the greatest prime factor of a cubic polynomial, J. f. d. reine u. angew. Mathematik. 304/304 (1978), 21-50. | MR | Zbl

[H3] C. Hooley : On exponential sums and certain of their applications, In : Journées Arithmétiques, London : Math. Soc. 1980 (Lecture Notes Series 56), 92-122. | MR | Zbl

[H] Hua Loo Keng : Introduction to number theory, Springer Verlag 1982. | MR | Zbl

[I1] H. Iwaniec : A new form of the error term in the linear sieve, Acta Arith. 37. (1980), 307-320. | MR | Zbl | DOI

[I2] H. Iwaniec : On the Brun-Titchmarsh theorem, J. Math. Soc. Japan vol 34 No 1 (1982), 95-123. | MR | Zbl | DOI

[K-L] N. M. Katz et G. Laumon : Transformation de Fourier et majoration de sommes exponentielles, Pub. Math. I.H.E.S No 62 (1985), 361-418. | MR | Zbl | Numdam

[Lan] E. Landau : Elementary Number Theory, Chelsea, New-York (1958). | MR | Zbl

[L-W] S. Lang and A. Weil : Number of points on varieties in finite fields, Amer. J. Math. 76 (1954), 819-827. | MR | Zbl | DOI

[Lau] G. Laumon : Majoration de sommes d'exponentielles attachées aux hyper-surfaces diagonales, Ann. Scient. de l'école normale supérieure, 4ème série, t. 16, (1983), 1-58. | MR | Zbl | Numdam | DOI

[M] Milne : Etale Cohomology, Princeton (1980). | MR | Zbl

[N1] T. Nagell : Généralisation d'un théorème de Tchebychev, J. de Mathématiques, 4 (1921) 343-356. | JFM | Numdam

[N2] T. Nagell : Introduction to number theory, New York 1951. | MR | Zbl

[P1] V. A. Plaksin : An asymptotic formula for the number of solutions of a nonlinear equation for prime numbers, Math. USSR Izvestija 18 (1982), 275-348. | Zbl | DOI

[Po] J. Pomykala : On the greatest prime divisor of quadratic sequences, Séminaire de Théorie des Nombres, Bordeaux 3 (1991), 361-375. | MR | Zbl | Numdam

[Schin] A. Schinzel : Two theorems of Gelfond and some of their applications, Acta Arith. 13 (1967), 177-236. | MR | Zbl | DOI

[Schm] W. M. Schmidt : Equations over finite fields, Lecture Notes in Mathematics 536, Springer Verlag, (Berlin-Heidelberg-New York, 1976). | Zbl

[Si] J. H. Silverman : Arithmetic of elliptic curves GTM 106. | Zbl | MR

[Sm] H. J. S. Smith : Report on the theory of numbers, Chelsea, New-York, 1965.

[T1] G. Tenenbaum : Sur une question d'Erdös et Schinzel, II, Inv. Math. 99 (1990), 215-224. | MR | Zbl | DOI

[T2] G. Tenenbaum : Introduction à la théorie analytique et probabiliste des nombres, Revue de l'institut Elie Cartan 13, Département de Mathématiques de l'université de Nancy I (1990). | Zbl

[W] D. Wolke : Über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen. 2, Math. Ann. 204 (1973), 145-153. | MR | Zbl | DOI