Simultaneous Diophantine approximation: sums of squares and homogeneous polynomials

被引:4
作者
Kleinbock, Dmitry [1 ]
Moshchevitin, Nikolay [2 ,3 ]
机构
[1] Brandeis Univ, Waltham, MA 02454 USA
[2] Moscow MV Lomonosov State Univ, Leninskie Gory 1, Moscow 119991, Russia
[3] Astrakhan State Univ, Tatishcheva 20a, Astrakhan 414056, Russia
关键词
simultaneous approximation; Diophantine exponents; intrinsic approximation; simplex lemma; REAL NUMBER; POWERS;
D O I
10.4064/aa180614-18-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:87 / 100
页数:14
相关论文
共 22 条
[1]   On simultaneous approximation to powers of a real number by rational numbers II [J].
Batzaya, Gantsooj .
JOURNAL OF NUMBER THEORY, 2017, 179 :268-298
[2]   On simultaneous approximation to powers of a real number by rational numbers [J].
Batzaya, Gantsooj .
JOURNAL OF NUMBER THEORY, 2015, 147 :141-155
[3]   Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points [J].
Beresnevich, Victor ;
Ghosh, Anish ;
Simmons, David ;
Velani, Sanju .
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2018, 98 :306-328
[4]  
Chevallier N., 2013, MOSCOW J COMBINATORI, V3, P3
[5]  
DAVENPORT H., 1969, Acta Arith, V15, P393
[6]  
Davenport H., 1964, Mathematika, V11, P50
[7]  
Fishman L., 2014, ARXIV14057650
[8]   INTRINSIC DIOPHANTINE APPROXIMATION ON MANIFOLDS: GENERAL THEORY [J].
Fishman, Lior ;
Kleinbock, Dmitry ;
Merrill, Keith ;
Simmons, David .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (01) :577-599
[9]  
Jarnik V., 1954, CZECH MATH J, V4, P330
[10]  
Jarnik V., 1938, TRAV I MATH TBILISSI, V3, P193