Problèmes non homogènes de la géométrie des nombres
Séminaire Delange-Pisot-Poitou. Théorie des nombres (1961-1962)
- Volume: 3, page 1-18
Access Full Article
topHow to cite
topSaffari, Hassan. "Problèmes non homogènes de la géométrie des nombres." Séminaire Delange-Pisot-Poitou. Théorie des nombres 3 (1961-1962): 1-18. <http://eudml.org/doc/110605>.
@article{Saffari1961-1962,
author = {Saffari, Hassan},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {number theory},
language = {fre},
pages = {1-18},
publisher = {Secrétariat mathématique},
title = {Problèmes non homogènes de la géométrie des nombres},
url = {http://eudml.org/doc/110605},
volume = {3},
year = {1961-1962},
}
TY - JOUR
AU - Saffari, Hassan
TI - Problèmes non homogènes de la géométrie des nombres
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1961-1962
PB - Secrétariat mathématique
VL - 3
SP - 1
EP - 18
LA - fre
KW - number theory
UR - http://eudml.org/doc/110605
ER -
References
top- [1] Barnes ( E.S.). - Non-homogeneous binary quadratic forms, Quart. J. Math., Oxford, Series 2, t. 1, 1950, p. 199-210. Zbl0037.17103MR41887
- [2] Barnes ( E.S.). - The inhomogeneous minima of binary quadratic forms, IV., Acta Math., t. 92, 1954, p. 235-264. Zbl0056.27302MR67940
- [3] Barnes ( E.S.). - The inhomogeneous minimum of a ternary quadratic form, II., Acta Math., t. 96, 1956, p. 67-97. Zbl0070.27502MR91311
- [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. Zbl0046.27601MR53162
- [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. Zbl0047.28102MR54654
- [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. Zbl0056.27301MR67939
- [7] Birch ( B.J.). - The inhomogeneous minimum of quadratic forms of signature zero, Acta Arithm., t. 4, 1958, p. 85-98. Zbl0080.03405MR98712
- [8] Birch ( B.J.) and Davenport ( H.). - Indefinite quadratic forms in many variables, Mathematika, t. 5, 1958, p. 8-12. Zbl0084.27201MR96621
- [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. Zbl0074.03702MR79049
- [10] Chabaut ( Claude). - Limite d'ensembles et géométrie des nombres, Bull. Soc. math. France, t. 78, 1950, p. 143-151. Zbl0039.04101MR38983
- [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. Zbl0047.04902MR50632
- [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. Zbl0046.04601MR47709
- [13] Cassels ( J.W.S.). - An introduction to diophantine approximation. - Cambridge, at the University Press, 1957 (Cambridge Tracts in Math. and math. Physics, 45). Zbl0077.04801MR87708
- [14] Cassels ( J.W.S.). - An introduction to the geometry of numbers. - Berlin,Gottingen, Heidelberg, Springer-Verlag, 1959 (Die Grundlehren der mathematischen Wissenchaften, 99). Zbl0086.26203MR157947
- 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. Zbl0038.02703MR23858
- [16] Chalk ( J.H.H.). - On the positive values of linear forms, II., Quart. J. Math., Oxford, t. 19, 1948; p. 67-80. Zbl0038.02703MR25514
- [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. Zbl0020.20502
- [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. Zbl0060.12001MR19655
- [19] Davenport ( H.). - Non-homogeneous ternary quadratic forms, Acta Math., t. 80, 1948, p. 65-95. Zbl0030.29702MR26068
- [20] Davenport ( H.) and Ridout ( D.). - Indefinite quadratic forms, Proc. London math. Soc., Series 3, t. 9, 1959, p. 544-555. Zbl0091.04605MR109140
- [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. Zbl0065.03201MR75988
- [22] Dickson( Leonard E.). - Studies in the theory of numbers. - Chigago, the University of Chigago Press, 1930 (The University of Chigago Science Series). JFM56.0154.01
- [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. Zbl0031.18201MR25724
- [25] Dyson ( F.J.). - On the product of four non-homogeneous linear forms, Annals of Math., Series 2, t. 49, 1948, p. 82-109. Zbl0031.15402MR25515
- [26] Hanoock ( Harris). - Development of the Minkowski geometry of numbers. - New-York, the Macmillan Company, 1939. Zbl0060.11206
- [27] Hardy ( G.H.) and Wright ( E.M.). - An introduction to the theory of numbers, 4th edition. - Oxford, the Clarendon Press, 1959. Zbl0086.25803MR67125
- [28] Hofreiter ( Nicolas). - Über einen Approximationssatz von Minkowski, Monatsh. für Math. und Physik, t. 40, 1933, p. 351-406. Zbl0008.19904
- [29] Koksma ( J.F.). - Diophantische Approximationen. - Berlin, J. Springer, 1936 (Ergebnisse der Mathematik, 4). Zbl0012.39602MR344200JFM62.0173.01
- [30] Landau ( Edmund). - Neuer Beweis eines Minkowskischen Satzes, J. reine und angew. Math., t. 165, 1931, p. 1-3. Zbl0002.01203
- 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. JFM31.0213.02
- [32] Minkowski ( Hermann). - Diophantische Approximationen. - Leipzig, B. G. Teubner, 1907 (math. Vorlesung. Univ. Göttingen, 2). JFM38.0220.15
- [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. Zbl0023.20702MR4274
- [34] Mordell ( L.J.). - Thoughts on number theory, J. London math. Soc., t. 21, 1946, p. 58-74. Zbl0060.11804MR18653
- [35] Mordell ( L.J.). - The minimum of an inhomogeneous quadratic polynomial in n variables, Math. Z., t. 63, 1956, p. 525-528. Zbl0070.04401MR75242
- [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. Zbl0097.03203MR110695
- [37] Remak ( Robert). - Verallgemeinerung eines Minkowskischen Satzes, I., Math. Z., t. 17, 1923, p. 1-34. Zbl49.0101.03MR1544600JFM49.0101.03
- [38] Remak ( Robert). - Verallgemeinerung eines Minkowskischen Satzes, II., Math. Z., t. 18, 1924, p. 173-200. MR1544627JFM49.0101.03
- [39] Ridout ( D.). - Indefinite quadratic form, Mathematika, t. 5, 1958, p. 122-124. Zbl0085.26901MR103879
- [40] Rogers ( C.A.). - The product of n non-homogeneous linear forms, Proc. London math. Soc., Series 3, t. 4, 1954, p. 50-83. Zbl0055.04305MR61633
- [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. Zbl0072.03601MR82513
- [43] Watson ( G.L.). - The inhomogeneous minimum of an indefinite quadratic form, Proc. Cambridge phil. Soc., t. 55, 1959, p. 368-370. Zbl0092.04905MR109149
- [44] Woods ( A.C.). - On a theorem of Tschebotareff, Duke math. J., t. 25, 1958, p. 631-637. Zbl0084.04602MR132139
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.