MULTIPLICATIVELY BADLY APPROXIMABLE MATRICES IN FIELDS OF POWER SERIES

作者：Le Thai Hoang^*; Vaaler Jeffrey D

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(9): 3791-3800.

DOI：10.1090/s0002-9939-2015-12570-1

• Linear forms
• fractional part
• Littlewood conjecture

We study the notion of multiplicatively badly approximable matrices in the field of a Laurent series with coefficients in a field K. We prove a transference principle in this setting, and show that such matrices exist when K is infinite.

• 出版日期2015-9