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A proof of the matrix version of Baker's conjecture in Diophantine approximation

Published online by Cambridge University Press:  07 May 2018

TUSHAR DAS  and
DAVID SIMMONS
TUSHAR DAS
Affiliation:
University of Wisconsin–La Crosse, Department of Mathematics & Statistics, 1725 State Street, La Crosse, WI 54601, U.S.A. e-mail: tdas@uwlax.edu
DAVID SIMMONS
Affiliation:
University of York, Department of Mathematics, Heslington, York YO10 5DD. e-mail: David.Simmons@york.ac.uk
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Abstract

We prove that the matrix analogue of the Veronese curve is strongly extremal in the sense of Diophantine approximation, thereby resolving a question posed by Beresnevich, Kleinbock and Margulis (2015) in the affirmative.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 167 , Issue 1 , July 2019 , pp. 159 - 169
Copyright
Copyright © Cambridge Philosophical Society 2018 

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References

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