@article{SD_1950-1951__4__A1_0, author = {Chabauty, Claude}, title = {G\'eom\'etrie des nombres}, journal = {S\'eminaire Dubreil. Alg\`ebre et th\'eorie des nombres}, note = {talk:1}, pages = {1--20}, publisher = {Secr\'etariat math\'ematique}, volume = {4}, year = {1950-1951}, zbl = {0122.05601}, language = {fr}, url = {http://www.numdam.org/item/SD_1950-1951__4__A1_0/} }
Chabauty, Claude. Géométrie des nombres. Séminaire Dubreil. Algèbre et théorie des nombres, Tome 4 (1950-1951), Exposé no. 1, 20 p. http://www.numdam.org/item/SD_1950-1951__4__A1_0/
[1] A new principle in the geometry of numbers, with some applications, Trans. Amer. math. S oc . , t. 15, 1914, p. 227-235. | JFM | MR
. -[2] On the minimum value of positive real quadratic forms in 6 variables, Bull. Amer. math. Soc., t. 31, 1925, p. 386. | JFM
. -[3] The minimum value of quadratic forms and the closest parking of sphere, Math. Annalen, t. 101, 1929, p. 605-608. | JFM | MR
. -[4] The minimum values of positive forma in 6, 7 and 8 variables, Math. Z., t. 39, 1934, p. 1-15. | JFM | Zbl
. -[5] Note on the minimum value of the discriminant of an algebraic field, Monatshefte für Math. und Phys., t. 48, 1939, p. 531-533. | MR | Zbl
. -[6] Géométrie des nombres d'ensembles non convexes, G.R. Acad. Sc. Paris, t. 227, 1948, p. 747-749 et 796-797. | MR | Zbl
. -[7] Sur le minimum du produit de formes linéaires, C.R. Acad. Sc. Paris, t. 228, 1949, p. 1361-1363. | MR | Zbl
. -[8] Sur les minima arithmétiques des formes, Ann. scient. Ec. Norm. Sup., t. 66, 1949, p. 367-394. | Numdam | MR | Zbl
. -[9] Limite d'ensembles et géométrie des nombres, Bull. Soc. math. France, t. 78, 1950, p. 143-151. | Numdam | MR | Zbl
. -[10] On the positive values of linear formes, Quart. J. of Math., t. 18, 1947, p. 215-227. | MR | Zbl
. -[11] Leçons sur le théorie des nombres ... - Paris, Gauthier-Villars, 1913. | JFM
. -[12] On the product of three homogeneous linear forma, II., Proc. London math. Soc., t. 44, 1938, p. 412-441. | Zbl
. -[13] Minkowski's inequality for the minima associated with a convex body, Quart. J. of Math., t. 10, 1939, p. 119-121. | Zbl
. -[14] Non-homogeneous binary quadratic forms, Koninkl. nederl. Akad. v. Wetensch., t. 49, 1946, p. 815-821. | MR | Zbl
. -[15] The product of n homogeneous linear forms, Koninkl. nederl. Akad. v. Wetensch., t. 49, 1946, p. 822-828. | MR | Zbl
. -[16] Non homogeneous ternary quadratic forms, Acta math., t. 80, 1948, p. 65-95. | MR | Zbl
. -[17] On indefinitite ternary quadratic form, II;, Froc. London math. Soc., t. 51, 1949, p. 145-160. | MR | Zbl
. -[18] Euclid's algorithm in cubic fields of negative discriminant Acta Math., t. 84, 1950, p. 159-179. | MR | Zbl
. -[19] Hlawka's theorem in the geometry of numbers, Duke math. J., t. 14, 1947, p. 367-375. | MR | Zbl
and . -[20] A theorem in algebraic topology, Annals of Math., t. 49, 1948, p. 75-80. | MR | Zbl
. -[21] On the product of four homogeneous linear forms, Annals of Math., t. 49, 1948, p. 81-109. | MR | Zbl
. -[22] Development of the Minkowski geometry of numbers. - New-York, Macmillan Company, 1939. | Zbl
. -[23] Oeuvres, Tome 1. - Paris, Gauthier-Villars, 1905.
. -[24] Zur Geometrie der Zahlen, Math. Z., t. 49, 1944, p. 285-312. | MR | Zbl
. -[25] Diophantische Approximationen. - Berlin, Springer, 1936 (Ergebnisse der Mathematik, Band 4, n° 4). | JFM | MR | Zbl
. -[26] Sur les formes quadratiques positives quaternaires, Math. Annalen, t. 5, 1872, p. 581-583. | JFM | MR
et . -[27] On Minkowski's theory of réduction of positive quadratic form, Quart. J. of Math., t. 9, 1938, p. 259-262. | Zbl
. -[28] Lattice points in n-dimensional star bodies, II., Koninkl, nederl. Akad. v. Wetensch., t. 49, 1946, p. 331-343, 444-454, 524-532 et 622-631. | Zbl
. -[29] Geometrie der Zahlen. - Reprinted New York, Chelsea, 1953. | MR | Zbl
. -[30] Diophantische Approximationen. - Leipzig, B.G. Teubner, 1907. | JFM
. -[31] The condition for integer solutions of ax2 + by2 + cz2 + dt2 = 0 , J. für reine und angew. Math., t. 164, 1931, p. 40-49. | Zbl
. -[32] The arithmetically reduced indefinite quadratic form in n-variables, Froc. royal Soc. London, Series A, t. 131, p. 99-108. | Zbl
. -[33] Lattice points in some n-dimensional non-convex régions, Koninkl. nederl. Akad. v. Wetensch., t. 49, 1946, p. 773-792. | MR | Zbl
. -[34] Homogeneous approximation, Koninkl. nederl. Akad. v. Wetensch., t. 50, 1947, p. 173-184. | Zbl
. -[35] On the approximation of irrational numbers by the convergents of their diophantine équations in algebraic number fields, Amer. J. of Math., 1949, t. 71, p. 387-402. | Zbl
. -[36] On the closest packing of sphere in n dimensions, Annals of Math., t. 48, 1947, p. 1062-1081. | MR | Zbl
. -[37] On sums of powers of linear forma, III., Koninkl. nederl. Akad. v. Wetensch., t. 51, 1948, p. 846-853. | MR | Zbl
. -[38] Existence theorems in the geometry of numbers, Annals of Math., t. 48, 1947, p. 994-1002. | MR | Zbl
. -[39] The product of n real homogeneous linear forms, Acta Math., t. 82, 1950, p. 185-208. | MR | Zbl
. -[40] Uber endliche Gruppen und hermitesche Formen, Math. Z., t. 1, 1918, p. 184-207. | JFM | MR
. -[41] A mean value theorem in geometry of numbers, Annals of Math., t. 46, 1945, p. 340-347. | MR | Zbl
. -[42] Remarques sur quelques propositions dues à M. Hermite, Ann. scient. Ec. Norm. Sup., t. 19, 1902, p. 89-118. | JFM | Numdam | MR
. -[43] Sur quelques résultats de Siegel, Summ. bras. Math., t. 1, 1946, p. 21-39. | MR | Zbl
. -