In this paper we develop a general theory of metric Diophantine approximation for systems of linear forms. A new notion of ‘weak non-planarity’ of manifolds and more generally measures on the space
Dans cet article, nous développons la théorie métrique générale des approximations diophantiennes pour les systèmes de formes linéaires. Nous introduisons et puis étudions une nouvelle notion de « non-planéité faible » des variétés, et plus généralement des mesures sur l’espace
Victor Beresnevich 1 ; Dmitry Kleinbock 2 ; Gregory Margulis 3
@article{JTNB_2015__27_1_1_0, author = {Victor Beresnevich and Dmitry Kleinbock and Gregory Margulis}, title = {Non-planarity and metric {Diophantine} approximation for systems of linear forms}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {1--31}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {27}, number = {1}, year = {2015}, doi = {10.5802/jtnb.890}, zbl = {06554394}, mrnumber = {3346961}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.890/} }
TY - JOUR AU - Victor Beresnevich AU - Dmitry Kleinbock AU - Gregory Margulis TI - Non-planarity and metric Diophantine approximation for systems of linear forms JO - Journal de théorie des nombres de Bordeaux PY - 2015 SP - 1 EP - 31 VL - 27 IS - 1 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.890/ DO - 10.5802/jtnb.890 LA - en ID - JTNB_2015__27_1_1_0 ER -
%0 Journal Article %A Victor Beresnevich %A Dmitry Kleinbock %A Gregory Margulis %T Non-planarity and metric Diophantine approximation for systems of linear forms %J Journal de théorie des nombres de Bordeaux %D 2015 %P 1-31 %V 27 %N 1 %I Société Arithmétique de Bordeaux %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.890/ %R 10.5802/jtnb.890 %G en %F JTNB_2015__27_1_1_0
Victor Beresnevich; Dmitry Kleinbock; Gregory Margulis. Non-planarity and metric Diophantine approximation for systems of linear forms. Journal de théorie des nombres de Bordeaux, Tome 27 (2015) no. 1, pp. 1-31. doi : 10.5802/jtnb.890. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.890/
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