@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},
note = {talk:6},
pages = {1--18},
year = {1961-1962},
publisher = {Secr\'etariat math\'ematique},
volume = {3},
zbl = {0115.26602},
language = {fr},
url = {https://www.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 N1 - talk:6 PY - 1961-1962 SP - 1 EP - 18 VL - 3 PB - Secrétariat mathématique UR - https://www.numdam.org/item/SDPP_1961-1962__3__A3_0/ LA - fr ID - SDPP_1961-1962__3__A3_0 ER -
Saffari, Hassan. Problèmes non homogènes de la géométrie des nombres. Séminaire Delange-Pisot-Poitou, Tome 3 (1961-1962), Exposé no. 6, 18 p.. https://www.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. | Zbl | MR
[2] . - The inhomogeneous minima of binary quadratic forms, IV., Acta Math., t. 92, 1954, p. 235-264. | Zbl | MR
[3] . - The inhomogeneous minimum of a ternary quadratic form, II., Acta Math., t. 96, 1956, p. 67-97. | Zbl | MR
[4] and . - The inhomogeneous minima of binary quadratic forms, I., Acta Math., t. 87, 1952, p. 259-323. | Zbl | MR
[5] and . - The inhomogeneous minima of binary quadratic forms, II., Acta Math., t. 88, 1952, p. 279-316. | Zbl | MR
[6] and . - The inhomogeneous minima of binary quadratic forms, III., Acta Math., t. 92, 1954, p. 199-234. | Zbl | MR
[7] . - The inhomogeneous minimum of quadratic forms of signature zero, Acta Arithm., t. 4, 1958, p. 85-98. | Zbl | MR
[8] and . - Indefinite quadratic forms in many variables, Mathematika, t. 5, 1958, p. 8-12. | Zbl | MR
[9] and . - On the inhomogeneous minimum of the product of n linear forms, Mathematika, t. 3, 1956, p. 25-39. | Zbl | MR
[10] . - Limite d'ensembles et géométrie des nombres, Bull. Soc. math. France, t. 78, 1950, p. 143-151. | Zbl | MR | Numdam
[11] . - The product of n inhomogeneous linear forms in n variables, J. London math. Soc., t. 27, 1952, p. 485-492. | Zbl | MR
[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. | Zbl | MR
[13] . - An introduction to diophantine approximation. - Cambridge, at the University Press, 1957 (Cambridge Tracts in Math. and math. Physics, 45). | Zbl | MR
[14] . - An introduction to the geometry of numbers. - Berlin,Gottingen, Heidelberg, Springer-Verlag, 1959 (Die Grundlehren der mathematischen Wissenchaften, 99). | Zbl | MR
. Voir TSCHEBOTAROW (N.).
[15] . - On the positive values of linear forms, I., Quart. J. Math., Oxford, t. 18, 1947, p. 215-227. | Zbl | MR
[16] . - On the positive values of linear forms, II., Quart. J. Math., Oxford, t. 19, 1948; p. 67-80. | Zbl | MR
[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. | Zbl | MR
[19] . - Non-homogeneous ternary quadratic forms, Acta Math., t. 80, 1948, p. 65-95. | Zbl | MR
[20] and . - Indefinite quadratic forms, Proc. London math. Soc., Series 3, t. 9, 1959, p. 544-555. | Zbl | MR
[21] and . - Product of inhomogeneous linear forms, Froc. London math. Soc., Series 3, t. 5, 1955, p. 474-499. | Zbl | MR
[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. | Zbl | MR
[25] . - On the product of four non-homogeneous linear forms, Annals of Math., Series 2, t. 49, 1948, p. 82-109. | Zbl | MR
[26] . - Development of the Minkowski geometry of numbers. - New-York, the Macmillan Company, 1939. | Zbl
[27] and . - An introduction to the theory of numbers, 4th edition. - Oxford, the Clarendon Press, 1959. | Zbl | MR
[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). | Zbl | MR | JFM
[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. | Zbl | MR
[34] . - Thoughts on number theory, J. London math. Soc., t. 21, 1946, p. 58-74. | Zbl | MR
[35] . - The minimum of an inhomogeneous quadratic polynomial in n variables, Math. Z., t. 63, 1956, p. 525-528. | Zbl | MR
[36] . - Tschebotareff's theorem on the product of non-homogeneous linear forms, J. London math. Soc., t. 35, 1960, p. 91-98. | Zbl | MR
[37] . - Verallgemeinerung eines Minkowskischen Satzes, I., Math. Z., t. 17, 1923, p. 1-34. | MR | JFM
[38] . - Verallgemeinerung eines Minkowskischen Satzes, II., Math. Z., t. 18, 1924, p. 173-200. | MR | JFM
[39] . - Indefinite quadratic form, Mathematika, t. 5, 1958, p. 122-124. | Zbl | MR
[40] . - The product of n non-homogeneous linear forms, Proc. London math. Soc., Series 3, t. 4, 1954, p. 50-83. | Zbl | MR
[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. | Zbl | MR
[43] . - The inhomogeneous minimum of an indefinite quadratic form, Proc. Cambridge phil. Soc., t. 55, 1959, p. 368-370. | Zbl | MR
[44] . - On a theorem of Tschebotareff, Duke math. J., t. 25, 1958, p. 631-637. | Zbl | MR





