@incollection{SB_1989-1990__32__155_0,
author = {Deshouillers, Jean-Marc},
title = {L'\'etude des formes cubiques rationnelles via la m\'ethode du cercle},
booktitle = {S\'eminaire Bourbaki : volume 1989/90, expos\'es 715-729},
series = {Ast\'erisque},
note = {talk:720},
pages = {155--177},
year = {1990},
publisher = {Soci\'et\'e math\'ematique de France},
number = {189-190},
mrnumber = {1099875},
zbl = {0726.11062},
language = {fr},
url = {https://www.numdam.org/item/SB_1989-1990__32__155_0/}
}
TY - CHAP AU - Deshouillers, Jean-Marc TI - L'étude des formes cubiques rationnelles via la méthode du cercle BT - Séminaire Bourbaki : volume 1989/90, exposés 715-729 AU - Collectif T3 - Astérisque N1 - talk:720 PY - 1990 SP - 155 EP - 177 IS - 189-190 PB - Société mathématique de France UR - https://www.numdam.org/item/SB_1989-1990__32__155_0/ LA - fr ID - SB_1989-1990__32__155_0 ER -
%0 Book Section %A Deshouillers, Jean-Marc %T L'étude des formes cubiques rationnelles via la méthode du cercle %B Séminaire Bourbaki : volume 1989/90, exposés 715-729 %A Collectif %S Astérisque %Z talk:720 %D 1990 %P 155-177 %N 189-190 %I Société mathématique de France %U https://www.numdam.org/item/SB_1989-1990__32__155_0/ %G fr %F SB_1989-1990__32__155_0
Deshouillers, Jean-Marc. L'étude des formes cubiques rationnelles via la méthode du cercle, dans Séminaire Bourbaki : volume 1989/90, exposés 715-729, Astérisque, no. 189-190 (1990), Exposé no. 720, 23 p.. https://www.numdam.org/item/SB_1989-1990__32__155_0/
[1] , 1988 - Diagonal cubic equations, II, Acta Arithmetica 53 (1989) 217-250 | Zbl | MR
[2] , , , 1962 - The addition of norm forms Mathematika 9 (1962) 75-82. | Zbl | MR
[3] , 1989 - Sommes d'exponentielles cubiques dans l'anneau des polynômes en une variable sur le corps à deux éléments, et application au problème de Waring, Thèse de Doctorat d'Etat, Univ. Bordeaux I, 1989.
[4] , 1979 - The distribution of Galois groups and Hilbert's irreducibility theorem, Proc. London Math. Soc. (3), 43 (1981) 227- 250. | Zbl | MR
[5] , 1986 - Arithmétique des variétés rationnelles et problèmes birationnels, Proc. Int. Congress Math., (1987) 641-653. | Zbl | MR
[6] , , , 1986 - Intersection of two quadrics and Châtelet surfaces, II, J. reine ang. Math. 374 (1987) 72-168. | Zbl | MR
[7] , , 1988 - Arithmetic on some singular cubic hypersurfaces. Proc. London Math. Soc. (3), 58 (1989) 519-549. | Zbl | MR
[8] , 1962 - Analytic methods for Diophantine equations and Diophantine inequalities, Univ. Michigan, 1962. | Zbl | MR
[9] - Cubic forms in sixteen variables, Proc. Roy. Soc. London ser. A, 272 (1963) 285-303. | Zbl | MR
[10] - La conjecture de Weil, I, Pub. Math. 43 (IHES, Paris, 1974) 273-307. | Zbl | MR | Numdam
[11] , 1985 - Problème de Waring pour les bicarrés, Sem. Th. Nb. Bordeaux (1984-1985), exposé 14, 47 p. | MR
[12] , , 1988 - Divisors, Cambridge University Press. | Zbl | MR
[13] , , 1919-1928 - cf. Several papers on Partitio Numerorum, in G.H. HARDY's collected papers, Oxford, 1966.
[14] , , 1917 - Asymptotic formule in combinatory analysis, Proc. London Math. Soc. (2), 17 (1918) 75-115. | JFM
[15] , 1982 - Cubic forms in ten variables, Proc. London Math. Soc. (3), 47 (1983) 225-257. | Zbl | MR
[16] , 1977 - On a new technique and its applications to the theory of numbers, Proc. London Math. Soc. (3), 38 (1979) 115-151. | Zbl | MR
[17] , 1984 - On Waring's problem, Acta Math. 157 (1986) 49-97. | Zbl
[18] , 1987 - On nonary cubic forms, J. reine ang. Math. 386 (1988), 32-98. | Zbl | MR
[19] , 1977 - On sums of two norms from cubic fields, in Journées de théorie additive des nombres (Université de Bordeaux I, 1977) | Zbl | MR
[20] , - Perversity and exponential sums, à paraître.
[21] , 1925 - On the representation of numbers in the form ax2 + by2 + cz2 + dt2. Acta Math. 49 (1926) 407-464. | JFM
[22] , 1925 - On the representation of numbers in the form ax2 + by2 + cz2 + dt2. Proc. London Math. Soc. (2), 25 (1926) 143-173. | JFM
[23] , 1982 - Une présentation adéligne de la série singulière et du problème de Waring, Ens. Math. 28 (1982) 139-169. | Zbl | MR
[24] - On the representation of large numbers as sums of seven cubes. Doklady Akad. Nauk SSSR 35 (1942), 162 and Mat. Sbornik 12 (1943) 218-224. | Zbl | MR
[25] 1936 - A remarie on indeterminate forms in several variables, J. London Math. Soc. 12 (1937) 127-129. | JFM
[26] , 1969 - Topics in Analytic Number Theory, Springer-Verlag, 1973. | Zbl | MR
[27] , 1981 - Some remarks on Weyl sums, Coll. Math. Soc. Janos Bolyai 34 (Halasz ed.) Amsterdam, 1984, 1585-1602. | Zbl | MR
[28] , 1981 - The Hardy-Littlewood method, Cambridge, 1981. | Zbl
[29] , 1985 - On Waring's problem for cubes, J. reine ang. Math. 365 (1986) 122-170. | Zbl | MR
[30] , 1987 - On Waring's problem for cubes, II, J. London Math. Soc. 39 (1989) 205-218. | Zbl | MR
[31] , 1914 - Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916) 313-352. | MR | JFM







