Problèmes non homogènes de la géométrie des nombres
Séminaire Delange-Pisot-Poitou. Théorie des nombres, Tome 3 (1961-1962), Exposé no. 6, 18 p.
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     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},
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     year = {1961-1962},
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     url = {http://www.numdam.org/item/SDPP_1961-1962__3__A3_0/}
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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://www.numdam.org/item/SDPP_1961-1962__3__A3_0/

[1] Barnes (E.S.). - Non-homogeneous binary quadratic forms, Quart. J. Math., Oxford, Series 2, t. 1, 1950, p. 199-210. | MR | Zbl

[2] Barnes (E.S.). - The inhomogeneous minima of binary quadratic forms, IV., Acta Math., t. 92, 1954, p. 235-264. | MR | Zbl

[3] Barnes (E.S.). - The inhomogeneous minimum of a ternary quadratic form, II., Acta Math., t. 96, 1956, p. 67-97. | MR | Zbl

[4] Barnes (E.S.) and Swinnerton-Dyer (H.P.F.). - The inhomogeneous minima of binary quadratic forms, I., Acta Math., t. 87, 1952, p. 259-323. | MR | Zbl

[5] Barnes (E.S.) and Swinnerton-Dyer (H.P.F.). - The inhomogeneous minima of binary quadratic forms, II., Acta Math., t. 88, 1952, p. 279-316. | MR | Zbl

[6] Barnes (E.S.) and Swinnerton-Dyer (H.P.F.). - The inhomogeneous minima of binary quadratic forms, III., Acta Math., t. 92, 1954, p. 199-234. | MR | Zbl

[7] Birch (B.J.). - The inhomogeneous minimum of quadratic forms of signature zero, Acta Arithm., t. 4, 1958, p. 85-98. | MR | Zbl

[8] Birch (B.J.) and Davenport (H.). - Indefinite quadratic forms in many variables, Mathematika, t. 5, 1958, p. 8-12. | MR | Zbl

[9] Birch (B.J.) and Swinnerton-Dyer (H.P.F.). - On the inhomogeneous minimum of the product of n linear forms, Mathematika, t. 3, 1956, p. 25-39. | MR | Zbl

[10] Chabaut (Claude). - Limite d'ensembles et géométrie des nombres, Bull. Soc. math. France, t. 78, 1950, p. 143-151. | Numdam | MR | Zbl

[11] Cassels (J.W.S.). - The product of n inhomogeneous linear forms in n variables, J. London math. Soc., t. 27, 1952, p. 485-492. | MR | Zbl

[12] Cassels (J.W.S.). - 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] Cassels (J.W.S.). - An introduction to diophantine approximation. - Cambridge, at the University Press, 1957 (Cambridge Tracts in Math. and math. Physics, 45). | MR | Zbl

[14] Cassels (J.W.S.). - An introduction to the geometry of numbers. - Berlin,Gottingen, Heidelberg, Springer-Verlag, 1959 (Die Grundlehren der mathematischen Wissenchaften, 99). | MR | Zbl

Čebotarev (N.). Voir TSCHEBOTAROW (N.).

[15] Chalk (J.H.H.). - On the positive values of linear forms, I., Quart. J. Math., Oxford, t. 18, 1947, p. 215-227. | MR | Zbl

[16] Chalk (J.H.H.). - On the positive values of linear forms, II., Quart. J. Math., Oxford, t. 19, 1948; p. 67-80. | MR | Zbl

[17] Davenport (H.). - 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] Davenport (H.). - 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] Davenport (H.). - Non-homogeneous ternary quadratic forms, Acta Math., t. 80, 1948, p. 65-95. | MR | Zbl

[20] Davenport (H.) and Ridout (D.). - Indefinite quadratic forms, Proc. London math. Soc., Series 3, t. 9, 1959, p. 544-555. | MR | Zbl

[21] Davenport (H.) and Swinnerton-Dyer (H.P.F.). - Product of inhomogeneous linear forms, Froc. London math. Soc., Series 3, t. 5, 1955, p. 474-499. | MR | Zbl

[22] Dickson(Leonard E.). - Studies in the theory of numbers. - Chigago, the University of Chigago Press, 1930 (The University of Chigago Science Series). | JFM

[23] Lejeune Dirichlet (G.). - G. Lejeune Dirichlet's Werke, 2ter Band. - Berlin, G. Heimer, 1897.

[24] Dyson (F.J.). - A theorem in algebraic topology, Annals of Math., Series 2, t. 49, 1948, p. 75-81. | MR | Zbl

[25] Dyson (F.J.). - On the product of four non-homogeneous linear forms, Annals of Math., Series 2, t. 49, 1948, p. 82-109. | MR | Zbl

[26] Hanoock (Harris). - Development of the Minkowski geometry of numbers. - New-York, the Macmillan Company, 1939. | Zbl

[27] Hardy (G.H.) and Wright (E.M.). - An introduction to the theory of numbers, 4th edition. - Oxford, the Clarendon Press, 1959. | MR | Zbl

[28] Hofreiter (Nicolas). - Über einen Approximationssatz von Minkowski, Monatsh. für Math. und Physik, t. 40, 1933, p. 351-406. | Zbl

[29] Koksma (J.F.). - Diophantische Approximationen. - Berlin, J. Springer, 1936 (Ergebnisse der Mathematik, 4). | JFM | MR | Zbl

[30] Landau (Edmund). - Neuer Beweis eines Minkowskischen Satzes, J. reine und angew. Math., t. 165, 1931, p. 1-3. | Zbl

Lejeune-Dirichlet (G.). Voir DIRICHLET (G. LEJEUNE).

[31] Minkowski (Hermann). - Annäherung einer reellen Grösse durch rationale Zahlen, Math. Annalen, t. 54, 1901, p. 108-124. | JFM

[32] Minkowski (Hermann). - Diophantische Approximationen. - Leipzig, B. G. Teubner, 1907 (math. Vorlesung. Univ. Göttingen, 2). | JFM

[33] Mordell (L.J.). - Tschebotareff's theorem on the product of non-homogeneous linear forms, Vierteljahr. Naturf. Gesellsch. Zürich, t. 85, 1940, p. 47-50. | MR | Zbl

[34] Mordell (L.J.). - Thoughts on number theory, J. London math. Soc., t. 21, 1946, p. 58-74. | MR | Zbl

[35] Mordell (L.J.). - The minimum of an inhomogeneous quadratic polynomial in n variables, Math. Z., t. 63, 1956, p. 525-528. | MR | Zbl

[36] Mordell (L.J.). - Tschebotareff's theorem on the product of non-homogeneous linear forms, J. London math. Soc., t. 35, 1960, p. 91-98. | MR | Zbl

[37] Remak (Robert). - Verallgemeinerung eines Minkowskischen Satzes, I., Math. Z., t. 17, 1923, p. 1-34. | JFM | MR

[38] Remak (Robert). - Verallgemeinerung eines Minkowskischen Satzes, II., Math. Z., t. 18, 1924, p. 173-200. | JFM | MR

[39] Ridout (D.). - Indefinite quadratic form, Mathematika, t. 5, 1958, p. 122-124. | MR | Zbl

[40] Rogers (C.A.). - The product of n non-homogeneous linear forms, Proc. London math. Soc., Series 3, t. 4, 1954, p. 50-83. | MR | Zbl

[41] Tschebotaröw (N.). - Beweis des Minkowskischen Satzes über lineare inhomogene Formen, Bull. Univ. Kasan, Series 2, t. 94, 1934, p. 3-16.

[42] Van Der Waerden (B.L.). - Die Reduktionstheorie der positiven quadratischen Formen, Acta Math., t. 96, 1956, p. 265-309. | MR | Zbl

[43] Watson (G.L.). - The inhomogeneous minimum of an indefinite quadratic form, Proc. Cambridge phil. Soc., t. 55, 1959, p. 368-370. | MR | Zbl

[44] Woods (A.C.). - On a theorem of Tschebotareff, Duke math. J., t. 25, 1958, p. 631-637. | MR | Zbl