Multiplicatively badly approximable matrices in fields of power series
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- by Thái Hoàng Lê and Jeffrey D. Vaaler PDF
- Proc. Amer. Math. Soc. 143 (2015), 3791-3800 Request permission
Abstract:
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.References
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Additional Information
- Thái Hoàng Lê
- Affiliation: Department of Mathematics, The University of Texas at Austin, 1 University Station, C1200, Austin, Texas 78712
- Email: leth@math.utexas.edu
- Jeffrey D. Vaaler
- Affiliation: Department of Mathematics, The University of Texas at Austin, 1 University Station, C1200, Austin, Texas 78712
- MR Author ID: 176405
- Email: vaaler@math.utexas.edu
- Received by editor(s): October 30, 2013
- Received by editor(s) in revised form: May 31, 2014
- Published electronically: March 25, 2015
- Additional Notes: The research of the second author was supported by NSA grant, H98230-12-1-0254.
- Communicated by: Matthew A. Papanikolas
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3791-3800
- MSC (2010): Primary 11J13, 11T55
- DOI: https://doi.org/10.1090/S0002-9939-2015-12570-1
- MathSciNet review: 3359571