@article{SDPP_1961-1962__3__A3_0, author = {Saffari, Hassan}, title = {Probl\`emes non homog\`enes de la g\'eom\'etrie des nombres}, journal = {S\'eminaire Delange-Pisot-Poitou. Th\'eorie des nombres}, note = {talk:6}, pages = {1--18}, publisher = {Secr\'etariat math\'ematique}, volume = {3}, year = {1961-1962}, zbl = {0115.26602}, language = {fr}, url = {http://archive.numdam.org/item/SDPP_1961-1962__3__A3_0/} }
TY - JOUR AU - Saffari, Hassan TI - Problèmes non homogènes de la géométrie des nombres JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres N1 - talk:6 PY - 1961-1962 SP - 1 EP - 18 VL - 3 PB - Secrétariat mathématique UR - http://archive.numdam.org/item/SDPP_1961-1962__3__A3_0/ LA - fr ID - SDPP_1961-1962__3__A3_0 ER -
%0 Journal Article %A Saffari, Hassan %T Problèmes non homogènes de la géométrie des nombres %J Séminaire Delange-Pisot-Poitou. Théorie des nombres %Z talk:6 %D 1961-1962 %P 1-18 %V 3 %I Secrétariat mathématique %U http://archive.numdam.org/item/SDPP_1961-1962__3__A3_0/ %G fr %F SDPP_1961-1962__3__A3_0
Saffari, Hassan. Problèmes non homogènes de la géométrie des nombres. Séminaire Delange-Pisot-Poitou. Théorie des nombres, Tome 3 (1961-1962), Exposé no. 6, 18 p. http://archive.numdam.org/item/SDPP_1961-1962__3__A3_0/
[1] Non-homogeneous binary quadratic forms, Quart. J. Math., Oxford, Series 2, t. 1, 1950, p. 199-210. | MR | Zbl
. -[2] The inhomogeneous minima of binary quadratic forms, IV., Acta Math., t. 92, 1954, p. 235-264. | MR | Zbl
. -[3] The inhomogeneous minimum of a ternary quadratic form, II., Acta Math., t. 96, 1956, p. 67-97. | MR | Zbl
. -[4] The inhomogeneous minima of binary quadratic forms, I., Acta Math., t. 87, 1952, p. 259-323. | MR | Zbl
and . -[5] The inhomogeneous minima of binary quadratic forms, II., Acta Math., t. 88, 1952, p. 279-316. | MR | Zbl
and . -[6] The inhomogeneous minima of binary quadratic forms, III., Acta Math., t. 92, 1954, p. 199-234. | MR | Zbl
and . -[7] The inhomogeneous minimum of quadratic forms of signature zero, Acta Arithm., t. 4, 1958, p. 85-98. | MR | Zbl
. -[8] Indefinite quadratic forms in many variables, Mathematika, t. 5, 1958, p. 8-12. | MR | Zbl
and . -[9] On the inhomogeneous minimum of the product of n linear forms, Mathematika, t. 3, 1956, p. 25-39. | MR | Zbl
and . -[10] Limite d'ensembles et géométrie des nombres, Bull. Soc. math. France, t. 78, 1950, p. 143-151. | Numdam | MR | Zbl
. -[11] The product of n inhomogeneous linear forms in n variables, J. London math. Soc., t. 27, 1952, p. 485-492. | MR | Zbl
. -[12] The inhomogeneous minimum of binary quadratic ternary cubic and quaternary quartic forms, Proc. Cambridge phil. Soc., t. 48, 1952, p. 72-86 et 519-520. | MR | Zbl
. -[13] An introduction to diophantine approximation. - Cambridge, at the University Press, 1957 (Cambridge Tracts in Math. and math. Physics, 45). | MR | Zbl
. -[14] An introduction to the geometry of numbers. - Berlin,Gottingen, Heidelberg, Springer-Verlag, 1959 (Die Grundlehren der mathematischen Wissenchaften, 99). | MR | Zbl
. -. Voir TSCHEBOTAROW (N.).
[15] On the positive values of linear forms, I., Quart. J. Math., Oxford, t. 18, 1947, p. 215-227. | MR | Zbl
. -[16] On the positive values of linear forms, II., Quart. J. Math., Oxford, t. 19, 1948; p. 67-80. | MR | Zbl
. -[17] A simple proof of Remak's theorem on the product of three linear forms, J. London math. Soc., t. 14, 1939, p. 47-51. | Zbl
. -[18] On a theorem of Tschebotareff, J. London math. Soc., t. 21, 1946, p. 28-34. Corringendum, J. London math. Soc., t. 24, 1949, p. 316. | MR | Zbl
. -[19] Non-homogeneous ternary quadratic forms, Acta Math., t. 80, 1948, p. 65-95. | MR | Zbl
. -[20] Indefinite quadratic forms, Proc. London math. Soc., Series 3, t. 9, 1959, p. 544-555. | MR | Zbl
and . -[21] Product of inhomogeneous linear forms, Froc. London math. Soc., Series 3, t. 5, 1955, p. 474-499. | MR | Zbl
and . -[22] Studies in the theory of numbers. - Chigago, the University of Chigago Press, 1930 (The University of Chigago Science Series). | JFM
. -[23] G. Lejeune Dirichlet's Werke, 2ter Band. - Berlin, G. Heimer, 1897.
. -[24] A theorem in algebraic topology, Annals of Math., Series 2, t. 49, 1948, p. 75-81. | MR | Zbl
. -[25] On the product of four non-homogeneous linear forms, Annals of Math., Series 2, t. 49, 1948, p. 82-109. | MR | Zbl
. -[26] Development of the Minkowski geometry of numbers. - New-York, the Macmillan Company, 1939. | Zbl
. -[27] An introduction to the theory of numbers, 4th edition. - Oxford, the Clarendon Press, 1959. | MR | Zbl
and . -[28] Über einen Approximationssatz von Minkowski, Monatsh. für Math. und Physik, t. 40, 1933, p. 351-406. | Zbl
. -[29] Diophantische Approximationen. - Berlin, J. Springer, 1936 (Ergebnisse der Mathematik, 4). | JFM | MR | Zbl
. -[30] Neuer Beweis eines Minkowskischen Satzes, J. reine und angew. Math., t. 165, 1931, p. 1-3. | Zbl
. -. Voir DIRICHLET (G. LEJEUNE).
[31] Annäherung einer reellen Grösse durch rationale Zahlen, Math. Annalen, t. 54, 1901, p. 108-124. | JFM
. -[32] Diophantische Approximationen. - Leipzig, B. G. Teubner, 1907 (math. Vorlesung. Univ. Göttingen, 2). | JFM
. -[33] Tschebotareff's theorem on the product of non-homogeneous linear forms, Vierteljahr. Naturf. Gesellsch. Zürich, t. 85, 1940, p. 47-50. | MR | Zbl
. -[34] Thoughts on number theory, J. London math. Soc., t. 21, 1946, p. 58-74. | MR | Zbl
. -[35] The minimum of an inhomogeneous quadratic polynomial in n variables, Math. Z., t. 63, 1956, p. 525-528. | MR | Zbl
. -[36] Tschebotareff's theorem on the product of non-homogeneous linear forms, J. London math. Soc., t. 35, 1960, p. 91-98. | MR | Zbl
. -[37] Verallgemeinerung eines Minkowskischen Satzes, I., Math. Z., t. 17, 1923, p. 1-34. | JFM | MR
. -[38] Verallgemeinerung eines Minkowskischen Satzes, II., Math. Z., t. 18, 1924, p. 173-200. | JFM | MR
. -[39] Indefinite quadratic form, Mathematika, t. 5, 1958, p. 122-124. | MR | Zbl
. -[40] The product of n non-homogeneous linear forms, Proc. London math. Soc., Series 3, t. 4, 1954, p. 50-83. | MR | Zbl
. -[41] Beweis des Minkowskischen Satzes über lineare inhomogene Formen, Bull. Univ. Kasan, Series 2, t. 94, 1934, p. 3-16.
. -[42] Die Reduktionstheorie der positiven quadratischen Formen, Acta Math., t. 96, 1956, p. 265-309. | MR | Zbl
. -[43] The inhomogeneous minimum of an indefinite quadratic form, Proc. Cambridge phil. Soc., t. 55, 1959, p. 368-370. | MR | Zbl
. -[44] On a theorem of Tschebotareff, Duke math. J., t. 25, 1958, p. 631-637. | MR | Zbl
. -